139k views
0 votes
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

1 Answer

3 votes

Answer:

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!

User EEM
by
7.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories