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Bunuel
The roof of an apartment building is rectangular and its length is 4 times longer than its width. If the area of the roof is 784 feet squared, what is the difference
between the length and the width of the roof?

A. 38.
B. 40.
C. 42.
D. 44.
E. 46.

Let the width is W, Then length is 4W

4* \(W^2\) = 784
\(W^2\) = 196
W = 14' L = 4W = 56

Difference = 56-14 = 42.

C is the answer.
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Let the width of roof of the building be a ft
so length of the roof is 4a
Area of roof = 4a * a = 4\(a^2\) = 784
\(a^2\) = 196
Taking positive square roots (as dimensions of the roof can't be negative), we get a = 14
so width of roof is 14 feet and length of roof is 56 feet
Difference between length and width = 56 - 14 = 42 feet
Correct Answer - C
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Hi Bunuel. I noted that the correct answer has been marked as B (40). If that is correct, can you please provide the explanation? Thanks a lot....
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ligeraks
Hi Bunuel. I noted that the correct answer has been marked as B (40). If that is correct, can you please provide the explanation? Thanks a lot....

It's C. Edited. Thank you.
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Bunuel
The roof of an apartment building is rectangular and its length is 4 times longer than its width. If the area of the roof is 784 feet squared, what is the difference between the length and the width of the roof?

A. 38.
B. 40.
C. 42.
D. 44.
E. 46.

4x^2=784
x=14 ; 4x= 56
4x-4 = 42

Answer is C
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