SOLUTION: A gardener wants to enclose a garden using 80 concrete curbstones. Each 1m long. A) how should the gardener lay out the curbstones to maximize the total enclosed area? B) how sh

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Question 1188274: A gardener wants to enclose a garden using 80 concrete curbstones. Each 1m long.
A) how should the gardener lay out the curbstones to maximize the total enclosed area?
B) how should the gardener lay out the curbs tone to maximize the total enclosed area is the house is being used as one side?
C) how should the gardener lay out the curb stones to maximize the total enclosed area udon he wants to include a path of the curbstones down the middle of the garden?

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
A gardener wants to enclose a garden using 80 concrete curbstones. Each 1m long.
A) how should the gardener lay out the curbstones to maximize the total enclosed area?
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Max area for a given perimeter is a circle.
Max area using these pieces is an 80-gon. A regular polygon with 80 sides.
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B) how should the gardener lay out the curbs tone to maximize the total enclosed area is the house is being used as one side?
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I suspect it's a half-circle. I'll work on that later.
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C) how should the gardener lay out the curb stones to maximize the total enclosed area udon ?????? he wants to include a path of the curbstones down the middle of the garden?
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bb tomorrow. B and C are interesting problems, IMO.

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