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18 votes
18 votes
PLEASE HELP!

Jim wants to build a rectangular parking lot along a busy street but only has 1,800 feet of fencing available. If no fencing is required along the street, find the maximum area of the parking lot.

User Ilya Vassilevsky
by
2.5k points

1 Answer

24 votes
24 votes

The largest area would be a square shape.

A square has 4 equal sides:

1800/4 = 450

Now because the street side doesn't have fencing, add that side length to one side of the fencing:

450 +450 = 900

Now the fence would have two widths of 450 feet and one length of 900 feet.

Area = length x width = 450 x 900 = 405,000 square feet.

User Rhinosaurus
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2.7k points
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