### Home > CCA > Chapter 5 > Lesson 5.2.1 > Problem5-47

5-47.

The area of a square is $225$ square centimeters.

1. Make a diagram and determine the length of each side.

Find the length of one of the sides of the square and use the sides to find the diagonal.

$\sqrt{225}=15\text{ cm}$

2. Use the Pythagorean Theorem to find the length of the square's diagonal.

• The Pythagorean Theorem is the following: $a^2+b^2=c^2$

• The length of the diagonal is

• $15\sqrt{2}$