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3 years ago

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Leo wants to paint a mural that covers a wall with an area of 400 square feet. They height of the wall is 1/4 of its length. Wha

t is the length and the height of the wall?
So, the dimensions (length by height) of the wall are ___ feet by ___ feet.

1 answer:

Leya [2.2K]3 years ago

3 0

The height of the wall is 100 feet

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Greeley [361]

Answer:

length is 28.86ft

width= 4.12ft

Step-by-step explanation:

<h2>This problem bothers on the mensuration of solid shapes, a rectangular prism.</h2>

The storage space takes the shape of a rectangular prism, and we are required to find the width and length of the storage space.

let the width of the basement be "w"

Given data

volume v= $595ft^{3}$

length l = $7w ft$

width w= $w$

height h= $5 ft$

We know that the expression for the volume of a rectangular prism is

$volume= length * width* height$

substituting our data we have to find "w"

$595= 7w*w*5\\595=7w^{2}*5\\ 595= 35w^{2} \\$

dividing both sides by 35 we have

$w^{2}= \frac{595}{35\\} \\w^{2}= 17\\$

find the square root of both sides we have

$w=\sqrt{17} \\w= 4.12$

since we know that length= 7w and width = w , we can substitute our value for w and find the length and width

$length= 7*4.12= 28.86ft\\width = 4.12ft$

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