The correct answer is C
A states that two rectangles with the same area must have the same perimeter, but this is false.
Let’s say you have a rectangle that has an area of 12 Sq ft
It could be 4 x 3 or 6 x 2
Given that our perimeter is 2l x 2w = p:
8 + 6 = 14 but 12 + 4 = 16
B says that’s two rectangles with the same perimeter must have the same area, this is also false.
Let’s take our perimeter of 16 for example.
We could have a rectangle of 2 x 6 and we could have a rectangle of 4 x 4
However, 2 x 6 has an area of 12
Meanwhile, 4 x 4 has an area of 16
C says that two rectangles with the same perimeter can have different areas. I already proved this with the last one
D says that no two rectangles can have the same area
4 x 3 and 6 x 2 both have an area of 12