To find the length of each side of the home office, we assume that the area is in the shape of a square (since the problem doesn't specify a different shape).

The area of a square is given by the formula:

$\text{Area} = \text{side}^2$

Given the area is 225 ft², we set up the equation:

$225 = \text{side}^2$

Now, to find the side length, we take the square root of both sides:

$\text{side} = \sqrt{225} = 15 \, \text{ft}$

So, the length of each side of the home office is 15 feet.

Would you like further details on this? Feel free to ask.

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Here are 5 related questions:

1. What if the home office were rectangular, with a length of 18 feet and an unknown width? How would we calculate the width?
2. How do we calculate the area of a room that is a rectangle or a triangle?
3. If the area were 400 ft², how would we find the new side length assuming it's a square?
4. What are the units of measurement for area in different types of rooms (e.g., rectangular vs. square)?
5. How can we find the perimeter of the square room?

Tip: When calculating the area of squares or rectangles, always check the shape first! The formula for a rectangle is slightly different from a square.