SOLUTION: a man has 30 feet of fence for a rectangular garden. what is the area of the largest garden he can build with a whole-number dimensions?

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Question 455999: a man has 30 feet of fence for a rectangular garden.
what is the area of the largest garden he can build with a whole-number dimensions?

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The greatest area is obtained for a given perimeter is when the rectangle is a square whose side is one-fourth of the perimeter. Your perimeter is 30 feet, one-fourth of 30 feet is 7.5 feet. But you need whole number dimensions -- that means 8 feet long by 7 feet wide. 56 square feet total area.

John

My calculator said it, I believe it, that settles it
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