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