The length of a rectangle is 7 more than its width. The area of the rectangle is 120. Solve for the length and the width.

Question

Mathematics

Patsy

23 May, 02:42

The length of a rectangle is 7 more than its width. The area of the rectangle is 120. Solve for the length and the width.

+2

Answers (2)

Know the Answer?

Luci · Answer 1

Length times width times height

Hoffman · Answer 2

L = w + 7

W = w

A = L * W

120 = w (w+7)

120 = w^2 + 7w

Subtract 120 from both sides.

w^2 + 7w - 120 = 0

Factor

(w + 15) (w - 8) = 0

Set each factor equal to zero.

w = - 15, w = 8

Cannot be - 15 so w = 8

Length = 15

Width = 8