Sum of the areas of two squares is `468\ m^2`. If the difference of their perimeters is 24 m, find the sides of the two squares.

Explanation

To solve the problem step by step, we will use the information given in the question to form equations and solve for the sides of the two squares.

### Step 1: Define the variables
Let the side of the first square be \( x \) meters and the side of the second square be \( y \) meters.

### Step 2: Write the equations based on the problem statement
1. The sum of the areas of the two squares is given as:
\[
...