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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Asked Apr 11, 2019
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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

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Step 2

The area A of the rectangular patio is  

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Step 3

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

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Math

Calculus

Derivative

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