The area of a rectangle is 54 square meters. The width of the rectangle is three meters more than the length. What are the dimensions of the rectangle?

Question

asked Dec 15, 2021 2.9k views

2 Answers

Topher Fangio · Answer 1 · 2021-12-17T02:31:15+0000

Answer:

w = 6 m

l = 9 m

Explanation:

A = 54m² = l×w

l = w + 3

54 = w(w+3)

54 = w² + 3w

w² + 3w - 54 = 0

w² + 9w - 6w - 54 = 0

w(w + 9)-6(w + 9) = 0

(w - 6)(w + 9) = 0

w - 6 = 0 => w = 6 m

w + 9 = 0 => w = - 9 < 0 (F)

l = w + 3

l = 9 m

AmirAli Saghaei · Answer 2 · 2021-12-21T22:50:24+0000

Answer:

Width= 9 meters Length= 6 meters

Explanation:

9 times 6 is 54

9 is 3 meters longer than 6 so 9 is the width.

This means 6 is the length