A wire of length 3x is bent into the shape of a square Express the area A of the square as a function of x?

The square is formed from a wire the length of 3x, which forms a perimeter of the same length. Because each side of the square is one fourth of the total perimeter (1 out of 4 equal sides), each side is 3x/4. The square of one side of a square is equal to the area of that square, so the area is (3x/4)2 = (9/16)x2.

The answer is then A = (9/16)x2.