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?

Answer 1

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.

Answer 2

Separate a rectangle into 6 equal parts

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