Hannah’s chess board is divided into 64 smaller squares and has an area of 256 inches square. Write and solve an equation to find the dimensions of each small square

1. Calculate the area of one small square:

\text{Area of one small square} = \frac{256}{64} = 4 \text{ square inches}

2. Set up the equation for the side length of the small square:

x^2 = 4

3. Solve for \( x \) by taking the square root:

x = \sqrt{4}

4. Therefore, the side length is:

x = 2

Thus, the dimensions of each small square are 2 inches by 2 inches.