What is the area of the polygon? Show your work.​

What Is The Area Of The Polygon? Show Your Work.

Answers

Answer 1

Answer:

33 square units

Step-by-step explanation:

Assuming that each line on this grid increases by a value of one, the area of the polygon can be determined by breaking it down into a large rectangle and two smaller triangles.

Area of the rectangle

The area of a rectangle is simply [tex]A = bh[/tex], where b represents the base and h represents the height.

Counting the size of each side, we can determine that they are 6 units for the base and 4 units for the height.

Substituting in the values, we get:

[tex]A = (6)(4)\\A = 24[/tex]

The area of the rectangle is 24 square units

Area of the triangles

The area of a triangle is simply [tex]A = \frac{1}{2} bh[/tex].

The base of each triangle is 3, and the height of each triangle is also 3.

Substituting in the values, we get:

[tex]A = \frac{1}{2} (3)(3)\\A = \frac{1}{2} (9)\\A = 9 / 2\\A = 4.5[/tex]

The area of each triangle is 4.5 square units

Area of the polygon

To get the area of the polygon, we simply add up the area of the rectangle and both triangles

[tex]A = 24 + 4.5 + 4.5\\A = 24 + 9\\A = 33[/tex]

The total area of the polygon is 33 square units.


Related Questions

Use the information to answer the following question.

The quadratic function f is represented by the equation f(x) = x2 - 2x + 2.



The table gives some of the values of the exponential function g.



x

-1

0

1

2

3

g(x)

-0.5

0

1

3

7



Which of the following statements is FALSE?

A.
f(3) > g(3)

B.
Both functions have a domain of all real numbers.

C.
The y-intercept of f(x) is greater than the y-intercept of g(x).

D.
The functions f(x) and g(x) have the same value at x = 1.

Answers

Answer:

Step-by-step explanation:

Jake took $20.00 to the shop and asked that it be changed into 5-cent coins. How many coins did he get?

Answers

Answer:

He got 400 coins because there are 100 cents in a dollar. 100*20=2000. 2000/5=400!

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

What is the equation of the line containing the points (3, 1), (9,3), and (27, 9)?
A. y = x3
B. y= 3x
C. y = 1/3x

Answers

Answer:

C = 1/3(x)

Step-by-step explanation:

Here, we want to get the equation of the line that contains the given points

From what we have , we can see that when the x-values are divided by 3, we get the y-values

thus, the equation that links the two variables is that;

y = 1/3x

Solve the equation. 3/4(x-12)=3 –12 9 16 20

Answers

Answer:

         x = 16

Step-by-step explanation:

³/₄(x - 12) = 3        {multiply both sides by ⁴/₃}

x - 12 = 4             {add 12 to both sides}

 x = 16

John sold 11 tickets Frank sold 50 Acres than twice the number that John sold how many tickets did Frank cell​

Answers

Answer:

50

Step-by-step explanation:

only that answer please correct✌️


its literally not fair...

Answers

Answer:

I thought you were quoting danganronpa for a second ...

I hope you feel better!!

Step-by-step explanation:

This is really funny joke!

The area of a rectangle is 221 in?. If its width is 13 in, then find its length.

Answers

I believe it’s 17 inches:)

Is 5 to the 10th power divided by 5 to the 5th power equal to 5 to the 2nd power?

Answers

Answer:

No.It is [tex]5^{5}[/tex]

Step-by-step explanation:

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\\frac{5^{10}}{5^{5}}=5^{10-5} = 5^{5}[/tex]

Need help ASAP please not links please

Answers

Answer:

a) 22:24 simplified the answer is 11:12

b) 21:81 simplified the answer is 7:27

Step-by-step explanation:

not sure how you were taught but those could also be

a)  [tex]\frac{22}{24}[/tex] or simplified the answer is [tex]\frac{11}{12}[/tex]

b) [tex]\frac{21}{81}[/tex] or simplified the answer is  [tex]\frac{7}{27}[/tex]

Evaluate the expression when z=7 3z+8

Answers

Answer:

Hi! The answer to your question is [tex]29[/tex]

Step-by-step explanation:

[tex]3(7)+8[/tex]

[tex]3(7) = 21[/tex]

[tex]21 + 8[/tex]

[tex]= 29[/tex]

☆*: .。.。.:*☆☆.*: .。..。.:*☆☆*: .。.。.:*☆☆.*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

In an election the successful candidate registered 5,77,500 votes and his nearest rival secured 3,48,700 votes by what margin did the successful candidate win the election.

Answers

Answer:

the successful candidate won the election with a 24% margin.

Step-by-step explanation:

With the infomation provided, first you need to find the total amount of votes by adding the number of votes that the successful candidate registered plus the number of votes that his nearest rival secured:

577,500+ 348,700=926,200

Next, you need to find the percentage of votes that the successful candidate registered and that the nearest rival secured by dividing the number of votes by the total amount of votes and multiplying the result for 100:

577,500/925,200=0.62*100=62%

348,700/926,200=38%

Now, you need to find the difference between both percentages to get the margin:

62%-38%=24%

According to this, the answer is that the successful candidate won the election with a 24% margin.

If you know that angles a and b are
vertical, what equation could you
use to represent this angle
relationship?

Answers

Answer:

Step-by-step explanation:

∡a = ∡b

i keep getting 10.0 but its incorrect.. can someone help?

Answers

Answer:

C) 2.0 cm

Step-by-step explanation:

Area of a circle is [tex]\pi[/tex] x r²

[tex]\pi[/tex] x r² = 3.14    ----> r² = 1    ----> r = 1

1 + 1 = 2


List three values for x that would make 5x < -20 true.

Answers

Answer:

1. -5

2. -6

3. -10

Step-by-step explanation:

There are x = - 6, -7,  and - 8 three values for variable x that would make 5x < -20 true.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

We have been given that the inequality is below as

⇒ 5x < -20   ...(i)

⇒ 5x / 5 < -20 / 5

⇒ x < - 4

Thus, all the negative values which are less than -4 for x would make it true.

For example, we take x = -8

Substitute the value of x = -8 in the inequality (i),

⇒ 5(-8) < -20

⇒ - 40 < -20

This is true.

Similarly x = - 6, and - 7 also for x would make it true.

Hence, there are x = - 6, -7,  and - 8 three values for variable x that would make 5x < -20 true.

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ2

In ⊙Q, mJK=180° and mLM=116°. What is m∠1?

Answers

Answer:

64degrees

Step-by-step explanation:

From the given diagram;

m<LK = 180degrees

m<LM = 116degrees

Required

m<1

Since <1 and <LM lies on the same straight line, hence;

m<1 + m<LM = 180

m<1 + 116 = 180

m<1 = 180 - 116

m<1 = 64degrees

Hence the measure of m<1 is 64degrees

Answer: 32

Step-by-step explanation:

2a+180+116=360

2a=64

a=32

Please help only correct answers.

Answers

True
False
True
Brainliest?

Will give brainliest please help!!!!

Answers

I am pretty sure it is A- The energy of a photon is h x c.

In the similar quadrilaterals below, what is the length of ?

Answers

Answer:

10 cm

Step-by-step explanation:

In the first quad, AD is 8 cm and in the second, it is 4 cm

4 x 2 = 8

so do 5 x 2 to get AB

10

Ava and her three friends went out for lunch. Their total bill was $96. If each person paid the same amount, how much would each person pay?

Answers

Answer:

96/4= $24 dollars per person

Step-by-step explanation:

Vinay bought a pizza and cut it into three pieces. When
he weighed the first piece he found that it was 7g lighter
than the second piece and 4g.heavier than the third piece.
If the whole pizza weighed 300g. How much did each of
the three pieces weigh?
(Hint: weight of first piece be 'x' then weight of second
piece is 'x + 7', weight of the third piece is 'x - 4')​

Answers

Answer:

x + x + 7 + x -4 = 300

3x = 297

x = 99 First Piece

x2 = 106 Second Piece

x3 = 95 Third piece

Step-by-step explanation:

Find the difference of the
two expressions.
(4/5x- 2) – (1/5x + 7)

Answers

Answer:

solution in attachment

hope it helps

I have no idea what the problem was with

Answers

Answer:

,,,,,,,,,,,,,,,,,,,,

Answer:

120in

Step-by-step explanation:

Okay, this is going to be a long one so hang onto your hats let's go

So, we first have to find the length that each of the frogs jumped so:

We're going to start with froggy #1, the 2-inch frog:

2 x 20 = 40

So froggy #1 can jump up to 40 inches so we're going to assume that each time our froggies jump, they jump to their full extent:

40 x 3 = 120

So froggy #1 jumped 120 inches

Now, we do the same with froggy #2, the 4-inch frog:

4 x 20 = 80

80 x 3 = 240

So froggy #2 jumped 240 inches

Now, we have to figure out how far ahead froggy #2 is from froggy #1:

240 - 120 = 120

So, the two froggies will end up 120 inches apart

hope this helps:)

x-5+2x-7 find the vale pleaser!!

Answers

Answer:

12

Step-by-step explanation:

They are the same angle so they must be equal.

So, x+5 = 2x-7

     5+7 = 2x-x

        12 = x

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer=0.4
Explanation

Answer:

Step-by-step explanation:

Ok, so remember your order of operations here.

Also, Remember that what we do to one side, we must do to the other side.

We cant solve whats in the parentheses, so that wont come first. The next best thing is the multipication of 0.8 in front of it:

0.8x(2x-4)

=

1.6x-3.2

Now lets rewrite the equation as:

1.6x-3.2=16

Now lets simply solve the rest:

1.6x=19.2

All I did is add 3.2 to both sides so I could get 1.6x on its own.

What is left is just dividing 1.6x to get 1x:

1.6x/1.6=19.2/1.6

This gets us:

x=12

This is because we divided 1.6 from both sides so that 1.6x became just x.

Answer:

12

Hope this helps!

Please help me, I'm afraid of failing this but I don't know what it's even about

Answers

Answer:

...

Step-by-step explanation:

the coefficients are 4, 7, 4, 6

12 mols of h20 will be produced

Please help me to solve this

Answers

Answer:

x = -5, 6

Step-by-step explanation:

[tex]x^{2} - x - 30 = 0\\(x-6)(x+5) = 0\\x = -5, 6[/tex]

Is this relation a function?

Answers

Yes the relation is a function

find the 13th term of the arithmetic sequence -2x+8, 4x+2, 10x-4,...

Answers

Answer:

70x - 64

Step-by-step explanation:

Answer attached.....

Hope it helps:)

If the area of a rectangle in terms of x is x2 + 15x + 26 / 6x2 and its width is x2 - 3x - 10 / 30x3 Find the length of the rectangle.

Answers

Answer:

The length of the rectangle is;

5x(x+13)/(x-5)

Step-by-step explanation:

Mathematically, we know that the area of a rectangle is the product of the length and width of the triangle

To find the length of the rectangle, we will have to divide the area by the width

we have this as;

(x^2 + 15x + 26)/6x^2 divided by (x^2-3x-10)/30x^3

thus, we have ;

(x^2 + 15x + 26)/6x^2 * 30x^3/(x^2-3x-10)

= (x^2+15x+ 26)/(x^2-3x-10) * 5x

But;

(x^2 + 15x + 26) = (x+ 2)(x+ 13)

(x^2-3x-10) = (x+2)(x-5)

Substituting the linear products in place of the trinomials, we have;

(x+2)(x+13)/(x+2)(x-5) * 5x

= 5x(x+13)/(x-5)

Angus Cut His Neighbors' Lawns For The Summer. By The End, He Had $325 In His Lawn-cutting Bank Account And He Paid A Total $75 For Gas. He Earned $10 For Ever Lawn He Mowed. How Many Lawns Did He Buy? A. N = 400 x 10 b n 250 x 10 c. N = 400 / 10 d. N = 250 / 10

Answers

Answer:

C. N = 400 / 10

Step-by-step explanation:

Lawn-cutting Bank Account = $325

Amount paid for gas = $75

Total amount earned = Lawn-cutting Bank Account + Amount paid for gas

= $325 + $75

= $400

Amount earned per every lawn he mowed = $10

How Many Lawns Did He mow?

Let N = number of lawns he mowed

N = Total amount earned / Amount earned per every lawn he mowed

N = 400 / 10

N = 40 lawns

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