2012 CEMC Gauss (Grade 7) Problems/Problem 11
Problem
The perimeter of a square is cm. The area of the square, in
, is
Solution
All of the side lengths of a square are equal, and there are four sides in a square. This means that we can let be the side length of the square.
Setting up an equation, we get:
cm
The area of a square is the square of its side length, giving:
Thus, the answer is .