The area of a rectangular wall of a barn is 128 square feet. its length is 8 feet longer than the width. find the length and width of the wall of the barn.

Hi there!

• Width = W
• Length = L = W + 8

Accr'ding to the question :- 

L x W = 128. ---(i)

Subsituting " W + 8 " for L in Eqn. (i) :-

(W + 8) W = 128

W² + 8W = 128

W² + 8W - 128 = 0    

W² + 14W - 6W - 128 = 0

W (W + 14) - 6 (W + 14) = 0 

(W + 14) ( W - 6) = 0  

∴ Width = - 14 Or 6

[ width can't be - ve ]
Obviously, only the positive number makes sense.

∴ Width, W = 6 feet.

∴ Length, L = W + 8 = 6 + 8 = 14 feet.

~ Hope it helps!

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