Question

Which statement is true about the rectangles shown?

A.
They have the same perimeter but different areas.

B.
They have different perimeters but the same area.

C.
They have the same area and perimeter.

D.
They have different perimeters and areas.

Answer 1

Answer: B: They have different perimeters but the same area.

Step-by-step explanation:
For the rectangle on top, the perimeter (the lengths of all the sides added together) is 5+4+5+4=18. The area (the length of the base times the length of the height) = 5*4=20.
For the larger rectangle on the bottom, the perimeter would be 10+2+10+2=24. The area of this rectangle would be 10*2=20.
The two rectangles have the same area (20) but not the same perimeter.