A rectangular portrait has an area of 40 square feet it's perimeter is 26 feet what are the dimensions of the portrait?

Answers

Answer 1

Answer:

Step-by-step explanation:

Portrait is in the shape of a rectangle.

And the area of a rectangle = Length × Width

Let the length of the portrait = l

And width of the portrait = w

Area of the portrait = lw

lw = 40

l = [tex]\frac{40}{w}[/tex]

Perimeter of a rectangle = 2(Length + width)

Perimeter of the portrait = 2(l + w)

26 = 2(l + w)

l + w = 13 ----------(2)

By substituting the value of 'l' in equation (1) from equation (2)

[tex]\frac{40}{w}+w=13[/tex]

40 + w² = 13w

w² - 13w + 40 = 0

w² - 8w - 5w + 40 = 0

w(w - 8) - 5(w - 8) = 0

(w - 5)(w - 8) = 0

w = 5, 8 feet

From equation (2)

l = 8, 5 feet

Therefore, dimensions of the portrait are (5 feet by 8 feet) Or (8 feet by 5 feet).


Related Questions

Ten deer were introduced into a protected preserve. Their expected population doubles each year. Which function represents the same relationship?

Answers

Answer:

y(t)= 10 (2)^t

Step-by-step explanation:

If t is the number of years given then the expected number can be found by

y(t)= 10 (2)^t

where t takes the value 0,1,2,3, and so on.

Putting t= 0

y(t)= 10 (2)^t

y(0)= 10 (2)^0

y(0)= 10   For the start the number of deer are 10.

Putting t= 1

y(t)= 10 (2)^t

y(1)= 10 (2)^1

y(1)= 20    After 1 year it has doubled to 20

Putting t= 2

y(t)= 10 (2)^t

y(2)= 10 (2)^2

y(2)= 40      After 2 years it has again doubled to 40

Putting t= 3

y(t)= 10 (2)^t

y(3)= 10 (2)^3

y(3)= 80   After 3 years it has again doubled to 80

If you shift the quadratic parent function f(x))=x^2right 12 units what is the equation o the new function

Answers

hmm

the question doesn't look clear

Help with this
Please

Answers

Answer:

1. B

2. E

3. D

4. F

5. A

please help. this is due in 10 min (image)

Answers

Answer:

200.55[tex]yd^{3}[/tex]

Step-by-step explanation:

Brainliest pls

Which of the following expressions shows the distributive property applied to the expression below?
z × (6 + 35)

A.
z + (6 + 35)
B.
(z + 6) × (z + 35)
C.
(z × 6) + (z × 35)
D.
z × (6 × 35)

Answers

Answer:

C. (z×6)+(z×35)

.....

.

Write a unit rate for the situation. Show all work!
12 goals in 3 hours

HELP THIS IS DUE IN 12 MINUTES!

Answers

Answer:

4 goals per hour

Step-by-step explanation:

[tex]\frac{goals}{hour}=\frac{12}{3}=\frac{12/3}{12/3}=\frac{4}{1}[/tex]

The unit rate would be 4 goals per hour.

Hope this helps.

A new laptop is on sale for $550 dollars. To pay for it you place it on your credit card which charges 12% percent interest each month

Answers

The answer would be $75 each month.

The interest amount charged on a new laptop is on sale for $550 dollars is $66.

Given that, a new laptop is on sale for $550 dollars.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Now, 12% of 550

= 12/100 ×550

= 0.12 ×550

= $66

So, interest is $66

Therefore, the interest amount charged on a new laptop is on sale for $550 dollars is $66.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ5

How much do you save using the better buy? 432 for 6 or 364 for 7

Answers

You will save $20 by buying 364 for 7.

help plzzzzzzzzzzzzzzzzz

Answers

Answer:

100

Step-by-step explanation:

a=b a=4x4x+x+10+6x+5=1804×+x+6x+10+5=18011x=180-15165÷15 =x=15

6x+10=15×6=90+10

=100

the lines shown below are parallel. if the green line has a slope of -2/3, what is the slope of the red line?
PLEASE JUST TELL ME THE ANSWER AND DON’T GIVE ME A LINK!!!

Answers

Answer:

2/3

Step-by-step explanation:

If the line is perpendicular, multiply the slope by -1 to find the answer

How do you write the mixed number shown as a fraction greater than one. I'm so confused. The number shown is 3 2/4

Answers

Answer:

14/2

Step-by-step explanation:

The answer is 14/2. Hope this helps! Mark brainly please! Correct me if I am wrong.

WHAT IS THE MEDIAN I WILL GIVE BRAINIEST

Answers

Answer:

5 is the median

Step-by-step explanation:

By crossing out the points on each side one by one, you could find that 5 is the median.

I believe the answer would be 5 not a 100% sure though

1. Tell me if each of the following is True or False A. Angles EOD and DOC are Vertical Angles. B. Angles FOD and Angle DOC are adjacent C. Angles FOD and AOC are equal D. The sum of the measurements of Angles of AOC and BOC and equal to FOD E. FOE and DOD are completely Angles F. Angles FOA, AOB, and AOC are Supplementary Angles​

Answers

Answer:

Do you have any Images?

Step-by-step explanation:

Answer:

I don't get it.

Step-by-step explanation:

Which known figures make up this unknown figure?

Answers

The known figures that make up this unknown figure are a trapezoid and a half circle.

Answer:

trapezoid and half circle.

Step-by-step explanation:

Urgent!!!!!!!!!
Can someone please give me the correct answer choice
I will mark the first person who answer without a link brainliest.
Please help!!!

Answers

Answer:  1 -3

Step-by-step explanation:

Answer:

(0,-3)

Step-by-step explanation:

If u count the spaces and move over and then down, u end up at (0,-3).

Figure A is a scale image of figure B.
Figure A
Figure B
16
Figure A maps to figure B with a scale factor of
4.
9
What is the value of 3?

Answers

Answer:

x = 36

Step-by-step explanation:

16 / (4/9) = 36

That's all there is to it. Hope I helped

If x = 6, then what is y in this equation

-2x + 16 = y?

1) y=-12

2)y = 22

3) y=4

4)y=-22

Answers

Answer:

y equals 4 because if you substitute solve and isolate you get that answer.

You have $20 to spend for cupcakes. If each cupcake costs $4, write and solve an inequality to show the maximum number of cupcakes you can buy.

Answers

You could buy 5 cupcakes
Answer:
5 cupcakes

Explanation:

20/4=5

Line AB connects the ends of the horseshoe and passes through the stake at point (x,y). If the equation for line AB is x = 6, which of these might be the coordinates of the stake? Assume that all the points lie in a rectangular coordinate system.
https://portal.achieve3000.com/images/uploads/m910_teensatcamp09.gif

Answers

Answer:

(6,0), (6,1), (6,2) (6,3)...

Step-by-step explanation:

x = 6

This means that 6 is the x-intercept since this is the equation for a verticle line, this means that x remains in 6 and y is the only number that moves so the AB stake point could be any number where x is 6, it could even be (6,0),

(6,1) e.t.c.


Javier will have a party at home. His budget is no more than $75 for pizzas and wings.
The price of the pizza is $7.50 each and one package of wings is $5.50. Which inequality
can be used to determine the number of pizzas x and packages of wings y that Javier can
buy?
A 7.50x + 5.50y > 75
B 5.50x + 7.50y s 75
C 7.50x + 5.50y s 75
D 7.50x - 5.50y 27

Answers

Answer: 7.50x+5.50 less than or equal to 75

Step-by-step explanation:

combine like terms 9y + 3y + 5x​

Answers

Answer:

=12y+5x

Step-by-step explanation:

Answer:

12y+ 5x

Step-by-step explanation:

9y + 3y + 5x​

9y and 3y are like terms

9y+3y = 12y

12y+ 5x

What is the slope of the line given by the equation y = 12x?

Answers

Answer:

up 12 over 1

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

12 is before x and the b or y-intercept is 0

Hope it helps have a good day

If 24 apples represents 30% of her apple supply. How many total apples does Jasmine have?

Answers

Answer: 80

Step-by-step explanation:

24 = 30%

48 = 60%

72 = 90%

24/3 = 10% = 8

72 + 8 = 80

What is the equation of a circle with a center located at (-3, 4) and a diameter of 14?

Answers

Answer: (x + 3)^2 + (y - 4)^2 = 49

Step-by-step explanation:

The equation of a circle given the center and radius: (x - h)^2 + (y - k)^2 = r^2

Given: center (-3,4) ; h = -3 and k = 4

diameter = 14

To find the radius: divide the diameter by 2 = 14/2 = 7 = r

Center: (-3,4) and radius: 7

Equation of a circle: (x - h)^2 + (y - k) ^2 = r^2

Substitute h = -3, k = 4, r = 7

(x - (-3))^2 + (y - 4)^2 = 7^2

Answer:

Equation of the circle: (x + 3)^2 + (y - 4)^2 = 49

What is the surface area of the figure?
below is a picture of the figure and the answer options
Pls help me I'm DESPERATE

Answers

Answer:

The answer is 24cm²

Step-by-step explanation:

The triangle area is given by A*½ and we get 4*2*½=6

Rectangle one is given as L*W and we solve 3*4= 12

Rectangle two is solved as L*W as well so we solved 1.5*4= 6

and we get 24cm²

Solve for x. 26x2–9x=0

Answers

Answer:

x=0;x=[tex]\frac{9}{26}[/tex]

Step-by-step explanation:

assuming you meant 26x^2-9x=0:

[tex]26x^{2} -9x=0\\x(26x-9)=0\\x=0;x=\frac{9}{26}[/tex]

hyxetdryufgukhchfxrdtygujhftyuhuhyguhjygyu

Answers

Answer:

so the answer is: eijieljnqwsmiqwmx

did i answer it correctly let me know

Step-by-step explanation:

Destroy your keyboard by smashing each random word on the poor broken keyboard  

yea that is correct. also you should watch attack on titan it’s a pretty good show. also the plot is amazing

Which one would it be?

Answers

Answer:

424

Step-by-step explanation:

If y = 424

and x is the number that exists as x already

y would equal to: 424

y equals to 424, so therefore the answer should be 424

PLEASE ANSWER THANK U SO MUCH

Answers

Answer:

answer is 21 : 4

hope it helps ......

Answer:

k = 5.25

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of proportionality

To find k use the condition y = 84 and x = 16 , then

84 = 16k ( divide both sides by 16 )

5.25 = k

Write the equation of the line that passes
through the points (-6,3) and (3,-9)

Answers

Answer:

slope intercept form:

y = -4/3x - 5

Step-by-step explanation:

hope this helps! :)

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