I need help checking my answers.

Which of the following is a true statement?
A. It is possible for two rectangles to have the same area, but only if they have the same perimeter.
B. It is possible for two rectangles to have the same area without having the same perimeter.
C. It is possible for two squares to have the same area without having the same perimeter.***
D. It is possible for two squares to have the same perimeter without having the same area.

2 answers

Your choice of C is wrong!
If two squares have the same area, then the two squares are congruent,
which means they must have the same sides, thus the same perimeter.

why don't you make sketches of situations for each case ?
Alright, thanks for checking. ^w^