Question

The area of a rectangular wall of a barn is 32 square feet. It’s length is 4 feet longer than the width. Find the length and width of the wall of the barn

Answer 1

Explanation:

Givens

Area = L * w

w = x

l = x + 4

Area = 32

Solution

32 = x(x + 4)

32 = x^2 + 4x

x^2 + 4x - 32

(x + 8)(x - 4)

Only x - 4 is going to make any sense

x - 4 = 0

x = 4

The width is 4

The length is 4 + 4 = 8

4*8 = 32 which is the area.