Question

you are planning a rectangular garden inside a yard that is 40 feet long and 25 feet wide. you need to leave a 3 - feet - wide path around the garden for a fence. what is the maximum area for the garden?
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the maximum possible length for the garden is (square) feet.
the maximum possible width for the garden is (square) feet.

Explanation:

Step1: Calculate the length of the garden

The yard is 40 feet long. Since there is a 3 - feet - wide path on both sides of the garden, we subtract \(2\times3\) from the length of the yard.
\(l = 40-2\times3=40 - 6=34\)

Step2: Calculate the width of the garden

The yard is 25 feet wide. Since there is a 3 - feet - wide path on both sides of the garden, we subtract \(2\times3\) from the width of the yard.
\(w=25 - 2\times3=25-6 = 19\)

Answer:

The maximum possible length for the garden is \(34\) feet.
The maximum possible width for the garden is \(19\) feet.