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For any perimeter, the rectangle with the greatest area is a square.

For a 16-inch perimeter, the greatest rectangular area is 16 square inches,

inside a square with 4-inch sides.

But if you don't necessarily need straight sides, then you can squeeze more area

inside the same perimeter with a circle. A circle with a 16-inch circumference has an

area of 20.372 square inches.

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Q: How could you find the measuements of the frame with a 16 inch perimeter and the greatest possible area?
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