Answer:
The side lengths are [tex]6\sqrt{2} [/tex] inches long.
Step-by-step explanation:
1. We know the formula to calculate the area of a square is the [tex]side length^{2} [/tex].
2. If the area is 72 square inches, we can create an equation to solve for the side lengths.
3. 72 = [tex]side length^{2} [/tex]
4. Solve:
[tex]\sqrt{72} = \sqrt{sidelength^{2} } [/tex] (Take the square root of both sides)
[tex]\sqrt{72} = side length[/tex] (Simplify)
[tex]6\sqrt{2} = side length[/tex] (Convert [tex]\sqrt{72} [/tex] into simplified radicals)
5. This gives us the answers: Each side length is [tex]6\sqrt{2}[/tex] inches long.
Hope this helped!
