Question

The area of a rectangle is 27m and the length of the rectangle is 3m less then twice the width. Find the dimensions of the rectangle

Answer 1

w = 4 1/2

l = 6

Explanation:

w = width

2w-3 = length

A = lw

27 = w(2w-3)

27 = 2w² - 3w

subtract 27 from each side:

2w² - 3w - 27 = 0

factor:

(2w-9)(w+3) = 0

solve each for 'w':

w = 9/2

w = -3 (This answer can be discounted because a length cannot be negative)

width = 9/2

length = 2(9/2) - 3 which is 6