The area of a rectangle is 54 m2, and the length of the rectangle is 3 m more than twice the width. find the dimensions of the rectangle. length : m width : m

L = 3 + 2w

Find the width

Area = 54

l * w = 54

(3 + 2w) * w = 54

3w + 2w^2 = 54

2w^2 + 3w - 54 = 0

(2w - 9) (w + 6) = 0

w = 9/2 or w = - 6 (width shouldn't be negative)

w = 9/2

w = 4.5 m

Find the length

l = 3 + 2w

l = 3 + 2 (4.5)

l = 3 + 9

l = 12 m

The width is 4.5 m, the length is 12 m