Sam's new room is square, and each side measures 15 feet. What is the area of the room? square

To find the area of Sam's new square room, we need to use the formula for the area of a square. The formula is:

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

Given that each side of the room measures 15 feet, we substitute this value into the formula:

$$\text{Area} = 15^2$$

Now, we calculate $15^2$:

$$15^2 = 15 \times 15 = 225$$

Therefore, the area of Sam's new room is:

$$\boxed{225}$$ square feet.