Question

A rectangular yard has area 96 square feet. if the width of the yard is four feet less than the length, what is the perimeter, in feet, of the yard?

Answer 1

Assume the length of the yard = x
Assume the wigth of the yard = x - 4

The area of the rectangular yard = width x length
That means,
96 = x * (x -4)
96 = x2 -4x
x2 - 4x -96 = 0
( x -12) (x+8) =0
so x = 12 and -8, we will neglect the value of -8 because there is no length is negative

The length of the yard = 12 ft, Width = 8 ft
The perimeter = (width + length) x 2
the perimeter = 40 ft