Which of the following is a true statement?

A. It is possible for two rectangles to have the same area, but only if they also 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.

pls help

2 answers

Well you know that all four sides of a square are the same length... so D is out, and C is out... since there are not two numbers that form a square that give a different area and perimeter.

So you are back to A and B...

consider a rectangle with length 12 and width 3... the area is 36
while its perimeter is 12+12+3 + 3
A rectangle with length 18 and width 2 also has an area of 36, but this perimeter is 40 units

so... is A) or B) correct ??
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