Question

a rectangle has a length that is 5 inches grater than is width and is area is 104 square inches, The equation (x+5) x=104 represent the situation, where x represents the width of the retangle

Answer 1

width = 8 inches; length = 13 inches

Explanation:

(x + 5)x = 104

x^2 + 5x - 104 = 0

(x - 8)(x + 13) = 0

x - 8 = 0 or x + 13 = 0

x = 8 or x = -13

Since the width of a rectangle cannot be a negative number, we discard the answer x = -13.

x = 8

The width is 8 inches.

The length is 8 + 5 = 13.

The length is 13 inches.