Question

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?

Answer 1

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

Answer 2

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