Question

A rectangular bedroom has an area of 117 ft. the length of the bedroom is 4ft more than the width. find the length and the width of the bedroom

Answer 1

Answer: Length = 13 ft. , Width = 9 ft.

Explanation:

Rectangle area = Length x width

Area = 117 ft.

Length = x + 4

Width = x

To solve

(x)(x + 4) = 117

x^2 + 4x = 117

x^2 + 4x - 117 = 0

(x - 9)(x + 13)

x = 9, -13

x = 9 (measurement cannot be negative)

Length

x + 4

9 + 4 = 13