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How can the area of a square be 1 and the perimeter be 4?

Updated: 8/20/2019
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11y ago

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The area of a square is equal to s2, where the side length is 1. We know the area is 1, so s2 = 1, and therefore s equals 1.

We can now check the perimeter. The perimeter equals 4s. Plug in s = 1, and the perimeter is 4. So the square would have side lengths of 1.

(Had the area an perimeter not matched up, the square would not have been possible.)

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Q: How can the area of a square be 1 and the perimeter be 4?
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