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The greatest area for a fixed perimeter will be when all the sides are equal or when the rectangle approaches the shape of a square.

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Q: Which rectangle has the greatest area for a fixed perimeter?
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How do describe a rectangle with whole number dimensions that has the greatest perimeter for a fixed area?

You dont


In general describe the rectangle that has the least area for a fixed perimeter?

For a fixed perimeter, the area will always be the same, regardless of how you describe the rectangle.


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What is the type of rectangle with the greatest area for a given perimeter?

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What are the dimensions of a rectangle that has a perimeter of 16cm and has the greatest possible area?

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What is the greatest perimeter of a rectangle with an area of 39 feet?

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A rectangle has a perimeter of 10 ft Write the area A of the rectangle as a function of the length of one side x of the rectangle?

This question has no unique answer. A (3 x 2) rectangle has a perimeter = 10, its area = 6 A (4 x 1) rectangle also has a perimeter = 10, but its area = 4 A (4.5 x 0.5) rectangle also has a perimeter = 10, but its area = 2.25. The greatest possible area for a rectangle with perimeter=10 occurs if the rectangle is a square, with all sides = 2.5. Then the area = 6.25. You can keep the same perimeter = 10 and make the area anything you want between zero and 6.25, by picking different lengths and widths, just as long as (length+width)=5.