SOLUTION: The area of a rectangle patio is 700 square feet. If the length of the patio is 5 feet less than twice its width, find the dimensions of the patio.

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Question 1077389: The area of a rectangle patio is 700 square feet. If the length of the patio is 5 feet less than twice its width, find the dimensions of the patio.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

The area of a rectangle patio is 700 square feet.
If the length L of the patio is 5 feet less than twice its width W, we have

L=2W-5
The area of a rectangle is: A=L%2AW
700=%282W-5%29%2AW
700=2W%5E2-5W
2W%5E2-5W-700=0.........factor
2W%5E2%2B35W-40W-700=0
%282W%5E2-40W%29%2B%2835W-700%29=0
2W%28W-20%29%2B35%28W-20%29=0
%28W+-+20%29%282W+%2B+35%29+=+0
solutions:
if %28W+-+20%29+=+0=>W=20
if %282W+%2B+35%29+=+0=>2W=-35=>W=-35%2F2....disregard negative solution, width cannot be negative
so, highlight%28W=20%29
now find length
L=2W-5=>L=2%2A20-5=>highlight%28L=35%29
the dimensions of the patio:highlight%28L=35%29 and highlight%28W=20%29