Areas and formulas

Question

If the perimeter of the square below is 36 in. The area of this square is ?

Answer 1

For a square with side length x

Perimeter = 4x

Area = x²

Since the perimeter is 36:

Perimeter = 4x

36 = 4x

Solve for x (the side length of the square) then plug that value of x into the area equation above to find the square's area. Since x is measured inches, the area will have units of square inches (in²).

Answer 2

All sides of a square have equal length.

Assume that each side is x in long.

perimeter = 36 in

4x = 36

4x/4 = 36/4

x = 9

Area = x² = 9² = 81 in²

Answer 3

The four sides are of equal length. Therefore each side is 36/4, or 9 in

The area is the square of a side. That is 9² or 81 in²