Therefore, a sharpening costs Dollar 1.85.
what is dollarThe US, Canada, Australia, and some nations in the Pacific, Caribbean, Southeast Asia, Africa, and South America all use the dollar as their primary unit of exchange. The word "$" is used to denote it.
Let's use $a for the sharpener's price. We can state that the price of a book is $a + 1.95 because it costs $1.95 more than a sharpening.
We are aware of the $26.10 total cost of 10 sharpeners and 2 books. This can be expressed as an equation:
10a + 2(a + 1.95) = 26.10
If we simplify this equation, we get:
12a + 3.90 = 26.10
3.90 less from each side results in:
12a = 22.20
By multiplying both sides by 12, you get:
a = 1.85
Therefore, a sharpening costs $1.85.
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A. Find the distance between the following pairs of points.(1,5),(3,8)
according to the question the distance between the points (1, 5) and (3, 8) is √13 units.
What is distance ?Distance is an object's total, aimless movement. Without regard to whether an object represents a starting or finishing point, distance can be defined as the total distance travelled. Distance is referred to as the breadth or height of the difference between two locations. It should be highlighted that the distance between each of the vantage points as well as the distance travelled from one to the other are not the same thing. The total length of a path connecting two locations counts as the distance travelled. Distance is the real distance that a body travels. It also goes by the name "path length." For instance, the length of the route for an object moving from point O to point P would be OP = 360 m.
given,
To find the distance between the points (1, 5) and (3, 8), we can use the distance formula:
distance = √[(x2 - x1)² + (y2 - y1)²]
Substituting the given values, we get:
distance = √[(3 - 1)² + (8 - 5)²]
distance = √[4 + 9]
distance = √13
Therefore, the distance between the points (1, 5) and (3, 8) is √13 units.
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Sophia visited a fish farm last week to learn about different fish species. She saw an empty fish tank which has a size of 30 cm x 70 cm x 80 cm. There are 5 cubes of side 20 cm in the tank. A tap that runs at 1 litre per minute was turned on to fill the tank. It was left running for 158 minutes and some water spilt out of the tank after it was full. What was the volume of water that spilt out of the tank?
Step-by-step explanation:
Volume = 20×70×80 = 112000 cm³
Volume of cubes = 20×20×20 ×5 = 8000 ×5 = 40000 cm³
Volume of space in the tank = 112000-40000 = 72000 cm³ = 72000 mL = 72 L
Volume of water from tap = 158 × 1 = 158 L
Volume of water spilt out = 158 - 72 = 86 L
Answer: 30000cm³
Step-by-step explanation:
Capacity of tank-> 30x70x80
=168000
Volume of 1 cube->20x20x20
=8000
Volume of 5 cubes->8000x5
=40000
Volume of space which can be occupied by water->168000-40000
=128000
Volume of water running for 158 min-> 158x1000
=158000
Volume of water spilt out->158000-128000
=30000( Ans)
The histograms below show the finishing times for a swim teams first competition and last competition of a season.
Which of the following are true regarding the data sets above?
Answer:
Step-by-step explanation:
Its B i think sry if im wrong
PLS HELP I WILL RATE!!
Consider the graph of the function f(x)= 1n x Which is a feature of function g if g(x)=-f(x-4)
A feature of function gif g(x) = f(x-4) is D. horizontal asymptote of y = 4
What is the asymptote aboutA horizontal asymptote is a straight line on a graph that a function approaches but never touches as the independent variable (usually denoted as x) increases or decreases without bound. In other words, the function gets closer and closer to the horizontal line as x becomes very large or very small, but it never actually touches or crosses it.
A function can have at most two horizontal asymptotes - one on the left side of the graph and one on the right side. The horizontal asymptotes of a function are determined by the highest degree of the polynomial in the numerator and the denominator of the function.
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Pythagorum theory. If a right triangle side a = 44 and angle is 30 what is b side
The length of the side b of the right triangle is 76 units.
How to find the side of a right triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees. Therefore, the side b of the right triangle can be found as follows:
tan 30° = opposite / adjacent side
where
opposite side = a = 44 units
adjacent side = b
Therefore,
tan 30° = 44 / b
cross multiply
b = 44 / tan 30
b = 44 / 0.57735026919
b = 76.2102710661
Therefore,
b = 76 units
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Using the following set of data, calculate the lower quartile, the upper quartile, and the interquartile range.
20, 22, 25, 28, 29, 30, 32, 33, 34
Be sure to show your work for finding:
the lower quartile
the upper quartile
the interquartile range
Answer:
To find the lower and upper quartiles and the interquartile range, we first need to order the data from smallest to largest:
20, 22, 25, 28, 29, 30, 32, 33, 34
Next, we find the median (middle value) of the entire dataset:
Median = (29 + 30) / 2 = 29.5
This median value divides the data into two halves. We then find the median of the lower half of the data, which includes all values less than or equal to 29.5:
Lower half: 20, 22, 25, 28, 29
Median of lower half = (25 + 28) / 2 = 26.5
This value, 26.5, is the lower quartile (Q1).
Similarly, we find the median of the upper half of the data, which includes all values greater than or equal to 29.5:
Upper half: 30, 32, 33, 34
Median of upper half = (32 + 33) / 2 = 32.5
This value, 32.5, is the upper quartile (Q3).
Finally, we can calculate the interquartile range (IQR) as the difference between the upper and lower quartiles:
IQR = Q3 - Q1 = 32.5 - 26.5 = 6
Therefore, the lower quartile is 26.5, the upper quartile is 32.5, and the interquartile range is 6.
What is the ratio of yellow to Red
6 yellow = 5 green
4 green = 3 purple
5 purple = 2 red
A.3 to 1
B.4 to 1
C.5 to 1
D.6 to 1
Yellow to red hence has a 4 to 1 ratio. Solution: B. 4 to 1 as 2 red times 5 purple (Instead of purple).
what is proportion ?A percent is a claim that two factors are equal in mathematics. When two quantities are compared by dividing them, the result is expressed as a ratio as a fraction. For instance, the number of girls to boys in a class can be expressed as "girls: boys" or "girls/boys." One way to express a percentage is as follows: a/b = c/d in which a, b, c, and d were four values that prevent b and d from being equal to zero. As a result, the ratio of a to b is the same as the ratio of c to d. The first term (a) is therefore equal to the reelection campaign (b), and the τ (c) is equal to the fourth term.
given
The given equalities can be used to calculate the proportion of yellow to red:
5 green times 6 yellow (Subtract both sides by 5)
(6/5) Yellow is equivalent to green.
3 purple + 4 green (substitute for green)
4 (6/5) Purple x 3 yellow
(24/5) Purple x 3 yellow (divide both sides by 4)
(8/5) Purple x yellow
2 red times 5 purple (Instead of purple)
(5/8) yellow Equals 2 red.
2 red x 8 yellow (divide both sides by 5)
Red + 4 yellows
Yellow to red hence has a 4 to 1 ratio. Solution: B. 4 to 1 as 2 red times 5 purple (Instead of purple).
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BRAINLIEST find the volume and surface area of a hypotenuse of a triangular right base that is 25 m . 7m height 24 m base? 22m length?
The volume and surface area of a triangular prism is 1,848 cubic meters and 1,694 square meters.
What is surface area?
The space occupied by a two-dimensional flat surface is called the area. It is measured in square units. The area occupied by a three-dimensional object by its outer surface is called the surface area.
the volume and surface area of a right triangular prism with base dimensions of 24 m and 7 m height and a length of 22 m.
The volume of a right triangular prism is given by the formula:
V = (1/2) * b * h * l
where b is the base width, h is the height, and l is the length. Plugging in the given values, we get:
V = (1/2) * 24 m * 7 m * 22 m = 1,848 m³
Therefore, the volume of the right triangular prism is 1,848 cubic meters.
The surface area of a right triangular prism is given by the formula:
SA = 2 * (b * h + l * h + b * l)
Plugging in the given values, we get:
SA = 2 * (24 m * 7 m + 22 m * 7 m + 24 m * 22 m) = 1,694 m²
Therefore, the surface area of the right triangular prism is 1,694 square meters.
Hence, the volume and surface area of a triangular prism are 1,848 cubic meters and 1,694 square meters.
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Calculate the area of the shaded region
4 ft 2 ft
8 ft
3 1/2 ft
5 ft.
Answer:
please let me know what is the name of the shape. Thank you
se the drawing tool(s) to form the correct answers on the provided graph.
Consider the given function.
Plot the x-intercept(s), y-intercept, vertex, and axis of symmetry of the function.
Drawing Tools
Click on a tool to begin drawing.
Reset Next
The solution is, :
(See attachment below)
Here, we have,
we know ,
Axial symmetry is symmetry around an axis; an object is axially symmetric if its appearance is unchanged if rotated around an axis.
The following information is derived from the graphic:
X-Intercepts: (-3,0), (1,0)
Y-Intercepts: (0,-3)
Vertex: (-1,-4)
Axis of symmetry of the function: x = -1
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The relationship between tickets earned and points earned in a game is
described below.
• 1 ticket earned for every 9 points earned
• 2 tickets earned for every 18 points earned
• 3 tickets earned for every 27 points earned
If the pattern continues, how many tickets are earned when 54 points are earned?
Show your work.
The total number of 6 tickets will be earned when 54 points are earned.
Given that the total number of tickets earned for 9 points was earned = 1 ticket
the tickets earned when every 18 points are earned = 2 tickets
the tickets earned when every 27 points are earned = 3 tickets
Let's divide the points by tickets to find out how many points are earned for each ticket.
9/1 = 18/2 = 27/3 = 9
This shows for every ticket 9 points are earned. So, to find out the no. of tickets for 54 points, we can divide the 54 by 9.
no. of tickets earned for 54 points = 54/9 = 6 tickets.
From the above analysis, we can conclude that the 6 tickets are earned for 54 points.
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a varies inverselv as b^3. If a =
3/2 when b = 2, find a
when b is 3
If a varies inversely as b³, the value of a when b=3 is 4/9.
Given that, a varies inversely as b³.
Here, a∝1/b³
a=k/b³
Substitute a=3/2 and b=2 in a=k/b³, we get
3/2 = k/2³
3/2 = k/8
3 = k/4
k = 12
Substitute k = 12 in a=k/b³, we get
a=12/b³
When b=3
a = 12/3³
a=12/27
a=4/9
Therefore, if a varies inversely as b³, the value of a when b=3 is 4/9.
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Find LM
A. 18
B. 24
C. 28
D. 36
Applying the Two-Tangent Theorem, the length of segment LM in the circle is: A. 18.
What is the Two-Tangent Theorem?
If two tangent segments are drawn to one circle from the same external point, the Two-Tangent Theorem states that both segments are congruent together.
Applying the theorem, we have:
4x - 2 = 3x + 3
Find the value of x:
4x - 3x = 2 + 3
x = 5
Find the length of LM:
LM = 3x + 3
Plug in the value of x:
LM = 3(5) + 3
LM = 18
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Given the function f(x) = x, what is the effect of f(x) - 8?
A. The new line is parallel to the original
B. The new line has a smaller rate of change
C. The x intercept decreases
C. The y intercept increases
If the function f(x) = x, the effect of f(x) - 8 is: is (D) The y intercept decreases.
What is the effect of f(x) - 8?The function f(x) = x is a linear function with a slope of 1, which means that for every increase of 1 in the x-value, the y-value also increases by 1.
If we subtract 8 from the function, we get:
f(x) - 8 = x - 8
This is still a linear function with a slope of 1, but it has been shifted downwards by 8 units.
Therefore, the effect of f(x) - 8 is that the y-intercept decreases by 8 (since the y-intercept of f(x) is 0 and the y-intercept of f(x) - 8 is -8), while the slope remains the same.
So the correct answer is (D) The y intercept decreases.
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which diagram below appears to show a pair of perpendicular lines Diagram A Diagram B Diagram C. Explain your Answer.
The answer for it is diagram B because it does not cross or have parallel lines
The volume is 720cm3 the area bass is 36cm2 what is the height
We can use the formula for the volume of a cylinder: V = Ah, where A is the base area and h is the height.
Substituting the given values, we have:
720 cm³ = 36 cm² x h
Simplifying, we can divide both sides by 36 cm²:
20 cm = h
Therefore, the height is 20 cm.
Please Help! Questions are Below
For the given: linear function: y = 3x and quadratic function: y = 7x², the graph is plotted.
Explain about the quadratic function:f(x) = ax² + bx + c, where such a, b, and c are numbers and an is not equal to zero, is a quadratic function. A parabola is the shape of a quadratic function's graph.
Although the "width" or "steepness" of a parabola can vary as well as its direction of opening, they all share the same fundamental "U" form.
Given functions:
y = 3x and y = 7x²
For the linear function:
y = 3x
Put x = 1, y = 3*1 = 1 ; (1,3)
Put x = 2 , y = 3*2 = 6 ; (2,6)
For the quadratic function: y = 7x²
Put x = 1; y = 7(1)² = 7 ; (1, 7)
Put x = 2 ; y = 7(2)² = 28; (2,28)
Plot the obtained points on the graph;
The graph for the given function is obtained using the graphing tool.
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Correct question:
Sketch the region enclosed by y = 3x and y = 7x². Find the area of the region.
Solve the systems of equations shown below.
2x- 6y = -12
X + 2y = 14
what is answer to this question please help
Answer:
5 > [tex]\sqrt{18[/tex]
Step-by-step explanation:
The square root of 18 is approximately 4.24.
5 is greater than 4.24, so we can use the inequality sign >.
MODELING REAL LIFE
The height of a tree trunk is 20 meters and the base diameter is 0.5 meter.
a. The wood has a density of 380 kilograms per cubic meter. Find the mass of the trunk.
The mass of the tree trunk is about
kilograms.
Question 2
b. For each of the next 5 years, the trunk puts on a growth ring 4 millimeters thick. In the first year, the height increases by 0.2 meter. The tree produces the same amount of wood each year. What is the height of the trunk after 5 years?
The height of the trunk is about
meters after 5 years.
Answer:
a. 1492 kg
b. 20.8 m
Step-by-step explanation:
Given a tree is initially 20 m high and has a diameter of 0.5 m, you want the mass of the trunk if its density is 380 kg/m³. If it adds a growth ring of 4 mm per year and adds height of 0.2 m in the first year, you want the height of the tree after 5 years, assuming the same amount of wood is added each year.
a. MassThe volume of the tree trunk is that of a cylinder. The formula is ...
V = (π/4)d²h
V = (π/4)(0.5 m)²(20 m) ≈ 3.9270 m³
The mass is the product of volume and density:
M = Vρ
M = (3.9270 m³)(380 kg/m³) ≈ 1492 kg
The mass of the tree trunk is about 1492 kg.
b. HeightIn the first year, the diameter of the tree increases by 8 mm, and the height increases by 0.2 m,. This means the volume of the tree increases to ...
V = (π/4)(0.508 m)²(20.2 m) ≈ 4.0942 m³
The volume increase is the same each year for 5 years, so after 5 years, the volume is ...
3.9270 m³ + 5(4.0942 -3.9270) m³ ≈ 4.7630 m³
At that time, the diameter is about 0.540 m. Solving the volume equation for the height, we find it to be ...
h = 4v/(π·d²)
h = 4(4.7630 m³)/(π·(0.54 m)²) ≈ 20.797 m
The height of the trunk after 5 years is about 20.8 m.
__
Additional comment
We note that the wood added in the first year includes the cylindrical shell represented by the tree ring, and a cylindrical "plug" that is 0.2 m high and equivalent in diameter to the rest of the tree. This seems an odd way for the tree to grow, but may be a reasonable approximation to the actual growth.
The height, diameter, and growth are all given to 1 significant figure. Hence the 4- and 3-significant figures used in the answers may be unsupported by the precision of the given numbers. Keeping 2 significant figures, we might report the initial mass as 1500 kg, and the final height as 21 m.
The graph is drawn by a function formulated to have the correct height at the x-intercept: v(d, h) - (final volume) = 0.
<95141404393>
Question 4(Multiple Choice Worth 1 points)
(04.03 MC)
On a number line, point A is located at 4, point C is located at 11, and point B lies between points A and C. What is the location of B such that the ratio of AB BC is 2:3
8.2
6.8
5.9
5.6
Find the circumference of the circle. Round to the nearest tenth.
A. 148.4 m
B. 169.6 m
C. 84.8 m
D. 54.0 m
Answer:
C. 84.8 m
Step-by-step explanation:
Circumference of circle = D x 3.14
D = 27 m
Let's solve
27 x 3.14 = 84.78 m
So, the circumference of the circle is C. 84.8 m
Answer:
Option C) 84.8 is the correct answer.
Step-by-step explanation:
Here we have given that the diameter of circle is 27 m and we have to find the circumference of circle. The formula to find circumference of circle is :
[tex]\dashrightarrow\sf{C = \pi d}[/tex]
Where :
C = circumference π = 3.14 d = diameterThus, finding the circumference of circle by substituting the given values in the formula :
[tex]\dashrightarrow\sf{C = \pi d}[/tex]
[tex]\dashrightarrow\sf{C = \pi \times d}[/tex]
[tex]\dashrightarrow\sf{C = 3.14 \times 27}[/tex]
[tex]\dashrightarrow\sf{C = 84.78 \: m}[/tex]
[tex]\dashrightarrow\sf{C \approx 84.8\: m}[/tex]
Hence, the circumference of circle is 84.8 m.
—————————————————Need help don’t know how to do failed 3 times cause of it help
The expression that can be used to find out the amount of time it would take Sal to finish the remaining homework is C. 4 / 9 x 3 / 5 .
How to find the expression ?To find the expression that would show the time it would take for Sal to finish his homework, the formula would be:
= Proportion of questions remaining x Time taken to finish one question
Proportion of questions remaining:
= 1 - 5 / 9
= 4 / 9
Time taken to finish one question:
= 3 / 5 minutes
The expression is therefore:
4 / 9 x 3 / 5
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What is the length of RP
The zero product property's assistance. The RP measures 14 cm in length.
What is the Length?The length of a thing refers to its size or length measured from end to end. Or, to put it a different way, it is the larger of a geometrical shape's upper two or three dimensions.
(x+x+2) * (x+2) = (4+6)*4
Conjoin similar terms
(2x+2)(x+2)=10*4
2(x+1)(x+2) = 40
Divide by 2
(x+1)(x+2) = 20
FOIL
x²+2x+x+2=20
x²+3x+2=0
Subtract 20
x²+3x-18=0
Factor
(x +9) (x-6) = 0
Utilising the zero sum property
x+9=0 x-6 =0
x= -9 x=6
The length cannot be negative, hence
x=6
RP = x+2+x
= 6+2+6
= 14
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1. A group of armed forces personnel were surveyed. The branch of
service was recorded in the chart below.
27%
12%
Branch of Service
Army
Navy
What percent of the whole group are in the Navy?
A
26%
Marine Corps
Air Force
Coast Guard
Number of Members
165
135
60
130
10
The percent of the whole group are in the Navy is 27%.
How to calculate the percentagePercent is a term used to express a fraction or a ratio out of 100. It is represented by the symbol "%". For example, if there are 20 red balls out of a total of 100 balls, we can say that the percentage of red balls is 20%.
To calculate the percentage, we can use the following formula:
Percentage = (Part / Whole) x 100
where "Part" is the value we want to express as a percentage, and "Whole" is the total value.
The percent of the whole group are in the Navy is:
= 135/500 × 100
= 27%.
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Answer:
27%
Step-by-step explanation:
135 of the 500 total members are in the Navy. Meaning that 135 out of 500 is 27%
Amelia bought a t-shirt for 15$ and 3 pairs of pants. She spent a total of 117$ wich equation matches this problem
The equation that matches this problem is 15 + 3p = 117
Which equation matches this problemLet the cost of one pair of pants be represented by the variable p.
Then, the cost of three pairs of pants is 3p.
We are also given that the cost of a t-shirt is $15.
The total cost of Amelia's purchase is $117.
Therefore, the equation that matches this problem is:
15 + 3p = 117
This equation represents the total cost of Amelia's purchase, which includes the cost of one t-shirt and three pairs of pants.
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Question 9: Use the function f(t) = -16t^2 + 60t + 16 to answer Part A, B, & C. Part B: identify the line of symmetry vertex of the parabola ( give exact decimal answers )
The line of symmetry of the parabola is t = 1.875 and the vertex of the parabola is (1.875, 77).
What is a function?A function is a mathematical concept that relates an input value (or values) to an output value (or values) according to a specific rule or set of rules. It can be thought of as a machine that takes in one or more inputs and produces a corresponding output. Functions are often represented using function notation, such as f(x) or g(t), where the variable in the parentheses (x or t) represents the input and the value of the function (f(x) or g(t)) represents the output.
According to the given information:To identify the line of symmetry and vertex of the parabola given by the function [tex]f(t) = -16t^2 + 60t + 16[/tex], we need to use the formula:
t = -b/2a
where "a" is the coefficient of the [tex]t^2[/tex] term (-16 in this case) and "b" is the coefficient of the t term (60 in this case).
Part A: Identify the line of symmetry of the parabola.
Using the formula above, we get:
t = -60 / 2(-16) = 1.875
So the line of symmetry of the parabola is t = 1.875.
Part B: Identify the vertex of the parabola.
To find the vertex, we need to substitute the value we found for t into the original function:
[tex]f(1.875) = -16(1.875)^2 + 60(1.875) + 16 = 77[/tex]
So the vertex of the parabola is (1.875, 77).
Therefore, the line of symmetry of the parabola is t = 1.875 and the vertex of the parabola is (1.875, 77).
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Find the perimeter and area of each
How to solve this problem?
Answer:
Step-by-step explanation:
Perimeter: 34 yd
Area: 37 yd²
Match the equation or expression to the number of terms, the coefficients and the constants.
Equation: [tex]6xt^4yz^3 + 10a = 1[/tex]. Number of terms: 2, Coefficients: 6, 10 and Constants: 1.
Equation: [tex]25abc^2ab + 3ac6bc + 25[/tex], Number of terms: 3. Coefficients: 25, 3, 6. Constants: 25
What is equation and an expression?
A random combination of integers, variables, functions, etc. can be described as an expression. An expression is, for instance, 3x - 2. An equation, on the other hand, is created when two independent expressions are joined by the equal to sign. An equation, for instance, is when 3x - 2 = 5 + x.
Equation/Expression: 6xt⁴yz³ + 10a = 1
Number of terms: 2
Coefficients: 6, 10
Constants: 1
Equation/Expression: 25abc²ab + 3ac6bc + 25
Number of terms: 3
Coefficients: 25, 3, 6
Constants: 25
Equation/Expression: 25y³xy + 5 = 100
Number of terms: 2
Coefficients: 25, 1
Constants: 5, 100
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Find the perimeter and the area of the figure. Round answers to the nearest tenth.
Composite shape formed by a rectangle and two semicircles. Each semicircle has a diameter of 15 feet and is aligned with the length of the rectangle. The rectangle has a width of 4 feet.
perimeter: about
ft
area: about
ft²
The answer of the given question based on the circle and rectangle is , the perimeter of the shape is approximately 83.8 feet, and its area is approximately 148.4 feet².
What is Perimeter?Perimeter is a measurement of the distance around the edge of a two-dimensional shape. It is the sum of the lengths of all the sides of the shape. The perimeter is often measured in units of length, such as centimeters, meters, or feet.
To find the perimeter and area of the composite shape formed by a rectangle and two semicircles, we can break it down into its individual components and then add them up.
First, let's find the perimeter. The shape consists of two semicircles, each with a diameter of 15 feet, and a rectangle with a width of 4 feet and a length equal to the diameter of the semicircles, which is 15 feet. The perimeter can be calculated as:
Perimeter = 2 × (semicircle circumference) + rectangle perimeter
The circumference of circle is by the formula 2πr, where r is the radius. Since each semicircle has a diameter of 15 feet, its radius is 7.5 feet. Therefore, the circumference of each semicircle is:
C = 2πr = 2π(7.5) = 15π feet
The perimeter of the rectangle is simply the sum of its four sides, which is:
P = 2(length + width) = 2(15 + 4) = 38 feet
Putting it all together, we have:
Perimeter = 2 × 15π + 38 ≈ 83.8 feet
Now let's find the area. The shape consists of two semicircles, each with a diameter of 15 feet, and a rectangle with a width of 4 feet and a length equal to the diameter of the semicircles, which is 15 feet. The area can be calculated as:
Area = (semicircle area) + rectangle area
The area of a circle is given by the formula πr². Since each semicircle has a diameter of 15 feet, its radius is 7.5 feet. Therefore, the area of each semicircle is:
A = (1/2)πr² = (1/2)π(7.5)² = 44.18 feet²
The area of the rectangle is simply its length multiplied by its width, which is:
A = length × width = 15 × 4 = 60 feet²
Putting it all together, we have:
Area = 2 × 44.18 + 60 = 148.4feet²
Therefore, the perimeter of the shape is approximately 83.8 feet, and its area is approximately 148.4 feet².
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