SOLUTION: A rectangle and a square have the same area. The length of the rectangle is one hundred forty feet more than two times its width. The length of a side of the square is sixty feet.

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Question 330233: A rectangle and a square have the same area. The length of the rectangle is one hundred forty feet more than two times its width. The length of a side of the square is sixty feet. What are the dimensions of the rectangle?
Any help would be really appreciated !!!!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The area of the rectangle is
A=L%2AW
L=140%2B2W
A=%28140%2B2W%29W
The area of the square is,
A=s%5E2=60%5E2=3600
Equate the areas,
W%282W%2B140%29=3600
2W%5E2%2B140W-3600=0
W%5E2%2B70W-1800=0
Factor,
%28W%2B90%29%28W-20%29=0
Only the positive result makes sense here.
W-20=0
W=20ft.
L=140%2B40=180ft.