SOLUTION: a parking lot has a rectangular area of 40,000 sq yards. the lenght is 200 yards more than twice the width. what are the dimensions of the parking lot?

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Question 188879: a parking lot has a rectangular area of 40,000 sq yards. the lenght is 200 yards more than twice the width. what are the dimensions of the parking lot?
Answer by jonvaliente(64) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = width of the parking lot
2x + 200 = length of the parking lot (being 200 yards more than twice the width)
The area of the rectangular lot is the length*width
so
x%2A%282x%2B200%29=40000
simplifying...
2x%5E2%2B200x=40000
divide both sides by 2 to simplify
x%5E2%2B100x=20000
x%5E2%2B100x-20000
factoring...
%28x%2B500%29%2A%28x-400%29=0
possible solutions are x=-500 and x=400. We take x=400 yards as length cannot be negative
so the width of the parking lot is 400 yards and the length is 1000 yards