Square

To find the side of square Z whose area is equal to the sum of the areas of squares X and Y, we start by calculating the areas of each square. The formula for the area of a square is .

Next, add these areas to get the total area for square Z:

Let be the side length of square Z. Then:

To find , take the square root of both sides:

We simplify :

Thus, the side of square Z is m.