Question

a rectangle has an area of 36 mm². all of the sides are the same length. what is the length of a single side?

Explanation:

Step1: Define shape and area formula

A rectangle with all equal sides is a square. Area of square: $A = s^2$, where $s$ = side length, $A=36\ \text{mm}^2$.

Step2: Solve for side length

Rearrange formula to solve for $s$: $s = \sqrt{A}$
Substitute value: $s = \sqrt{36}$

Answer:

$6\ \text{mm}$