Answer:

Explanation:
Given
---- the perimeter of fencing
Required
The maximum area
Let


So, we have:

This gives:

Divide by 2

Make L the subject

The area (A) of the fence is:

Substitute


Open bracket

Differentiate with respect to W

Set to 0

Solve for 2W

Solve for W

Recall that:




So, the maximum area is:


