Question 1083477
the length of each side is 2x centimeters.


the perimeter of a square is equal to 4 times the length of each side.


the area of a square is equal to the length of each side squared.


therefore:


the perimeter is equal to 4 * (2x) = 8x


the area is equal to (2x)^2 which is equal to 2x * 2x which is equal to 4x^2


to see if this makes sense, let x = any number.


i chose 5.


we said earlier that the perimeter was equal to 4 * (2x).
when x = 5, the perimeter becomes equal to 4 * (2*5) which is equal to 4 * 10 which is equal to 40


we said earlier that the area was equal to (2x)^2.
when x = 5, the area becomes equal to (2*5)^2 which is equal to 10^2 which is equal to 100.


notice that (2x)^2 is not the same as 2x^2


(2x)^2 is equal to 2x * 2x which is equal to 2 * x * 2 * x which is equal to 2 * 2 * x * x which is equal to 4 * x^2  which is equal to 4x^2.


2x^2 is equal to 2 * x * x which is equal to 2 * x^2 which is equal to 2x^2.


big difference.