A piece of cloth 8 m in width and 12 m in length has to be covered by square block prints. If each side of the square block is 0.5 m in length, then how many such square blocks can be printed on the cloth?

Options

A. 217
B. 384
C. 312
D. 420

Answer

To find out how many square blocks can be printed on the cloth, we can follow these steps:

### Step 1: Calculate the area of the cloth
The area of a rectangle (which is the shape of the cloth) is calculated using the formula:
\[ \text{Area} = \text{Length} \times \text{Width} \]

Given:
- Length of the cloth = 12 m
- Width of the cloth = 8 m

So, the area of the cloth is:
\[ \text{Area} = 12 \, \text{m} \times 8 \, \text{m} = 96 \, \text{m}^2 \]

### Step 2: Calculate the area of one square block
The area of a square is calculated using the formula:
\[ \text{Area} = \text{Side} \times \text{Side} \]

Given:
- Side of the square block = 0.5 m

So, the area of one square block is:
\[ \text{Area} = 0.5 \, \text{m} \times 0.5 \, \text{m} = 0.25 \, \text{m}^2 \]

### Step 3: Calculate the number of square blocks that can fit in the cloth
To find the number of square blocks that can be printed on the cloth, we divide the area of the cloth by the area of one square block:
\[ \text{Number of blocks} = \frac{\text{Area of cloth}}{\text{Area of one block}} \]

So, we have:
\[ \text{Number of blocks} = \frac{96 \, \text{m}^2}{0.25 \, \text{m}^2} = 384 \]

### Final Answer
Therefore, the number of square blocks that can be printed on the cloth is **384**.

---