The length of a rectangular garden is 5 feet greater than the width. the are of the rectangle is 300 square feet. find the length and the width.

Question

Mathematics

Aurora Patel

5 June, 09:11

The length of a rectangular garden is 5 feet greater than the width. the are of the rectangle is 300 square feet. find the length and the width.

+1

Answers (1)

Know the Answer?

Trevor Jenkins · Answer 1

Set up a system of equations to solve the question.

w=width, l=length

w+5=l

w*l=300

Plug (w+5) in for l in the second equation.

w * (w+5) = 300

Distribute

w^2+5w=300

w^2+5w-300=0

(w+20) (w-15) = 0

w=-20, w=15