Question

LESSON 20-1 PRACTICE

10. A square has an area of 72 square inches. What is its side length s? Give
the exact answer using simplified radicals.
strita
Allt
A= 72 in.2 s

Answer 1

The side lengths are
`6√(2)` inches long.

Explanation:

1. We know the formula to calculate the area of a square is the
`side length^(2)`.

2. If the area is 72 square inches, we can create an equation to solve for the side lengths.

3. 72 =
`side length^(2)`

4. Solve:

`√(72) = \sqrt{sidelength^(2) }` (Take the square root of both sides)

`√(72) = side length` (Simplify)

`6√(2) = side length` (Convert
`√(72)` into simplified radicals)

5. This gives us the answers: Each side length is
`6√(2)` inches long.

Hope this helped!