If square ABCD has a larger area than rectangle EFGH, does it follow that ABCD must have a perimeter larger than that of EFGH? Why or why not?

Question

I believe it will have a larger perimeter that the other, is this correct?

Answer 1

I think you are wrong.

consider the sides of abcd to be 10 (perimeter 40, area 100)
consider the sides of a rectangle 2 x 40, or perimeter (84, area 80)

the rectangle has larger perimeter, but smaller area.