Question: A backyard farmer wants to enclose a rectangular space for a new garden. She has purchased 8 0 feet of wire fencing to enclose 3

A backyard farmer wants to enclose a rectangular space for a new garden. She has purchased

80

feet of wire fencing to enclose

3

sides, and will put the

4

th side against the backyard fence. What dimensions should she make her garden to maximize the enclosed area? Hint: Find a formula for the area enclosed by the fence if the sides of fencing perpendicular to the existing fence have length L

.

W is the side of fencing parallel to the

4

th side or backyard fence.

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