Posted by **faye** on Tuesday, March 9, 2010 at 6:43pm.

the area of a rectangle is 100 square inches.the perimeter of the rectangle is 40 inches.a second rectangle has the same area but a different perimeter. is the second rectangle a square?

- Calculus -
**MathMate**, Tuesday, March 9, 2010 at 8:05pm
Use calculus to prove that the *minimum* perimeter of a rectangle of area 100 square inches is 40 inches, and that happens when all the sides are equal, namely the rectangle is a square.

Therefore any other rectangle having a different perimeter cannot be a square.

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