SOLUTION: The area of a rectangle is 120 square ft. The width is 2 feet less than two-thirds of the length. What is the length and width of the rectangle?

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Question 901691: The area of a rectangle is 120 square ft. The width is 2 feet less than two-thirds of the length. What is the length and width of the rectangle?
Found 2 solutions by harpazo, ewatrrr:
Answer by harpazo(655)   (Show Source): You can put this solution on YOUR website!
A = 120
width = (2x/3) - 2
length = x

Here is your equation:
120 = x times (2x/3) - 2

Take it from here.

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
.
L the length
A = wL =
2L2 - 6L = 360
L^2 - 3L - 180 = 0
(L -15)(L+12) = 0, L = 15ft and w = 8ft

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