How to Convert the Area of a Square to the Perimeter

The properties of a perfect square are ideal for plotting land.

Mathematical principles for measuring geometric shapes can often be complex, but certain shapes have properties that make determining their measurements relatively painless. For a shape to be considered "square," it must have exactly four sides of equal length that meet at right angles. Using basic formulas, measurements of squares can be determined with little information.

Instructions

1. Understand how the area of a square is calculated. Multiplying one side by itself or one side by another yields the area of the square, since all sides are equal.

2. Determine the square root of the area. In a square, the measurement for area will have a square root that is equal to each individual side of the square. For instance, if the area of a square is given as 25 square inches, it can be determined that each individual side is the square root of 25, or 5 inches.

3. Multiply the length of a square's side by four to determine its perimeter. In all quadrangles, the perimeter is determined by finding the sum of all sides. The measurement for a single side of a square merely needs to be multiplied by four to determine the perimeter. In the example, multiplying each 5-inch side by four equals 20 inches.

Tips & Warnings

• The formula for finding the perimeter of a square when the area is given is as follows: Perimeter = (square root of area) X 4.

References

• Basic-mathematics.com: Common Geometry Formulas