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?

Algebra ->  Rectangles -> 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?      Log On


   

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) About Me  (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) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

     .

L the length

 A = wL = %28%282%2F3%29L+-+2%29L+=+120ft%5E2

  2L2 - 6L = 360

 L^2 - 3L - 180 = 0

(L -15)(L+12) = 0,  L = 15ft  and w = 8ft 15w+=+120