Answer:
w = 4 1/2
l = 6
Step-by-step 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
