Question

The area of a rectangle is 100 sq inches. The perimeter of a rectangle is 40 inches. A second rectangle has the same area but a different perimeter. IS the second rectangle a square? Explain why or why not.

Answer 1

Area = 100Sq/in
Perimeter = 40

Easiest side length would be 10in x 10in = 100sq/in (ie a square)

Instead of a square, the 100sq in could be 100 laid out in a long row: the perimeter therefore would be 100 + 1 + 100 + 1 = 202in. Not a square