A square has a perimeter of 20 cm. A new square is

created that has double the perimeter of the original

square. How does the area of the new square

compare to the area of the original square?

The area quadrupled. If the original square's perimeter is 20, each side length must be 5. The new square has double the perimeter, so it's 40. This means each side of the new square must be 10.

The formula for area in a square is base x height.

Square 1 area: 5x5 = 25

Square 2 area: 10x10 = 100

100/25 is 4, so the original square's area is 4 times smaller than the new square.