### Home > AC > Chapter 14 > Lesson 14.2.1.4 > Problem2-51

2-51.

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

1. Make a diagram and list any steps that you would need to do to find the length of the diagonal.

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. What is the length of its diagonal?

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

The length of the diagonal is

$15\sqrt{2}$