How many squares are there in a 5 inch by 5 inch square grid, if the grid is made up one inch by one inch squares ?

Options

A. 50
B. 150
C. 55
D. 25

Answer

To find out how many squares are there in a 5 inch by 5 inch square grid made up of 1 inch by 1 inch squares, we can follow these steps:

### Step 1: Determine the area of the larger grid.
The larger grid is a square with each side measuring 5 inches. The formula for the area of a square is:
\[ \text{Area} = \text{Side} \times \text{Side} \]
Substituting the value:
\[ \text{Area} = 5 \text{ in} \times 5 \text{ in} = 25 \text{ in}^2 \]

### Step 2: Determine the area of one small square.
Each small square has a side length of 1 inch. Using the same formula for the area:
\[ \text{Area} = 1 \text{ in} \times 1 \text{ in} = 1 \text{ in}^2 \]

### Step 3: Calculate the number of small squares in the larger grid.
To find the total number of 1 inch by 1 inch squares that fit into the 5 inch by 5 inch grid, divide the area of the larger grid by the area of one small square:
\[ \text{Number of squares} = \frac{\text{Area of larger grid}}{\text{Area of one small square}} = \frac{25 \text{ in}^2}{1 \text{ in}^2} = 25 \]

### Conclusion:
Thus, there are a total of **25 squares** in the 5 inch by 5 inch square grid.

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