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First of all, an area of 100 feet is not possible since area is measured in square feet - not in feet. But suppose we overlook that fundamental error.

The area of a rectangle is not sufficient to determine its perimeter. It can have any value greater than 40 ft.

Let L be ANY length ≥ 10 ft and let W = 100/L ft.

Then, a rectangle with length L and width W has an area of L*W = L*100/L = 100 square feet. But since there are infinitely many choices for L, there are infinitely many perimeters (P).

For example,

L = 10 => W = 10 => P = 40

L = 100 => W = 1 => P = 202

L = 1000=> W = 0.1 => P = 2000.2

L = 10000=> W = 0.01 => P = 20000.02

You should see from that, there is no limit to how large L can be and so no limit on how large P can be.

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Q: What is the perimeter of a rectangle with an area of 100 ft?
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