Question

The dimensions of a rectangle can be expressed as x−1 and x+5. If the area of the rectangle is 91 square inches, what are the dimensions of the rectangle? Make sure to enter BOTH dimensions.

Answer 1

13 x 7

Explanation:

area = L x W

91 = (x - 1)(x + 5)

x² + 5x - x - 5 = 91

combine like terms:

x² + 4x - 5 = 91

subtract 91 to each side of the equation:

x² + 4x - 96 = 0

factor:

(x + 12)(x - 8)

x = 8

x - 1 = 7

x + 5 = 13