# Using a row of shrubs as one side and fencing for the other three sides, a rectangular patio will be constructed. Given that there are 72 meters of fencing available, determine the dimensions that would create the patio of maximum area and identify the maximum area. Enter only the maximum area. Do not include units in your answer.

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Using a row of shrubs as one side and fencing for the other three sides, a rectangular patio will be constructed. Given that there are 72 meters of fencing available, determine the dimensions that would create the patio of maximum area and identify the maximum area. Enter only the maximum area. Do not include units in your answer.

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Step 1

Let the dimension of the rectangular patio that has to be constructed be x meter by y meter.

As the row of shrubs has to be on one side and fencing on the other three sides as well as only 72 meters of fencing is available. This gives

Step 2

The area A of the rectangular patio is

Step 3

Modify the equation x + 2y = 72 for x ...

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