The area of a rectangle is 65 ft2, and the length of the rectangle is 3 ft less than double the width. Find the dimensions of the rectangle.

Question

Mathematics

Nancy Wang

4 August, 08:26

The area of a rectangle is 65 ft2, and the length of the rectangle is 3 ft less than double the width. Find the dimensions of the rectangle.

+2

Answers (1)

Know the Answer?

Adrienne Baird · Answer 1

Area = length x width

length = 2 x width - 3

i. e. 65 = w (2w - 3)

2w^2 - 3w - 65 = 0

(w + 5) (2w - 13) = 0

w = - 5 or w = 6.5

but width cannot be negative, hence

width = 6.5 ft

Length = 2 x 6.5 - 3 = 13 - 3 = 10 ft