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You can't.

If you know the area of a rectangle, that's not enough information to find the perimeter.

If you know something else, such as the relative lengths of the sides, you could solve this with an equation. For example:

A rectangle has an area of 72in2, and the length is 14in greater than the width. What is the perimeter of the rectangle?

Let w inches be the width of the rectangle. Then the length will be w+14 inches.

Area = length x width = (w+14)w = w2 +14w = 72.

Whoops, we have a quadratic equation, w2+14w -72 = 0. This can be solved by factoring: (w+18)(w-4) = 0 -> w = -18 or w = 4. It can't be negative, so the width must be 4 inches. The length will be 18 inches.

Now we can find the perimeter: 2(l + w) = 2(4+18) = 2 x 22 = 44 inches.

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12y ago

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