Square Roots Math Example 4

Follow the full solution, then compare it with the other examples linked below.

Example 4

easy
A square garden has an area of 144 square feet. What is the side length?

Solution

  1. 1
    A square's area equals side length squared: s2=144s^2 = 144.
  2. 2
    Take the square root: s=144=12s = \sqrt{144} = 12 feet.

Answer

12 feet12 \text{ feet}
Finding the side length of a square from its area is the most concrete use of a square root: you reverse the squaring process.

About Square Roots

The non-negative number bb such that b2=ab^2 = a, written a=b\sqrt{a} = b — the inverse of squaring.

Learn more about Square Roots →

More Square Roots Examples

Example 1 easy

Find [formula].

Example 2 medium

A square has an area of [formula] cm². What is the side length of the square?

Example 3 medium

Simplify [formula].

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