Mr. Sanchez has 16 feet of fencing to put around a rectangular garden he wants the garden to have the greatest possible area how long should the size of the garden be

Question

Mathematics

Micah Whitney

31 March, 10:01

Mr. Sanchez has 16 feet of fencing to put around a rectangular garden he wants the garden to have the greatest possible area how long should the size of the garden be

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Eleanor Barnett · Answer 1

In order to enclose the greatest possible area with the fencing

that he has, Mr. Sanchez should plant the garden inside a circle

with a diameter of 5-ft 1.12-inches. Its area will be 20.37 square feet.

If it absolutely has to be a rectangle, then he will get the greatest

possible area when it's a square. So each side will need to be

4-ft, and the area will be 16 square feet.

I don't know how to prove either of these without calculus.

You'll just have to trust me.