Question

The area of a rectangular wall of a barn is 75 75 square feet. its length is 10 10 feet longer than the width. find the length and width of the wall of the barn.

Answer 1

A = L * W
A = 75
L = W + 10

75 = W(W + 10)
75 = W^2 + 10W
W^2 + 10W - 75 = 0
(W + 15)(W - 5) = 0

W + 15 = 0
W = -15...not this one because it is negative

W - 5 = 0
W = 5 <=== width is 5 ft

L = W + 10
L = 5 + 10
L = 15 <=== length is 15 ft