Question

The area of a rectangular wall of a barn is 153 square feet. Its length is 8 feet longer than the width. Find the length and width of the wall of the barn.

Answer 1

Answer and Step-by-step explanation:

Area (A) = 153

Length (l) = 8 + w

Width (w) = w

A = lw

153 = (8 + w)(w)

153 = $w^{2} + 8w$

0 =  $w^{2} + 8w$ - 153

 $w^{2} -9w + 17w - 153$

(w - 9)(w + 17)

w = 9

w = -17

We can't have a negative length, so we only use 9.

w equals 9.

That means l equals 17     (9 + 8 = 17).

Length = 17

Width = 9

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