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)   (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

simplifying...

divide both sides by 2 to simplify


factoring...

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

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