The length and breadth of play ground are 5m 20 cm and 3m 80 cm respectively. Find the area of the playground. Also find the cost of levelling it at Rs. 6.5 per square metre.

Answer

To find the area of the playground and the cost of leveling it, we can follow these steps:

### Step 1: Convert the measurements to meters
- The length of the playground is given as 5 m 20 cm.
- Convert 20 cm to meters:
\[ 20 \text{ cm} = \frac{20}{100} \text{ m} = 0.2 \text{ m} \]
- Therefore, the length in meters is:
\[ 5 \text{ m} + 0.2 \text{ m} = 5.2 \text{ m} \]

- The breadth of the playground is given as 3 m 80 cm.
- Convert 80 cm to meters:
\[ 80 \text{ cm} = \frac{80}{100} \text{ m} = 0.8 \text{ m} \]
- Therefore, the breadth in meters is:
\[ 3 \text{ m} + 0.8 \text{ m} = 3.8 \text{ m} \]

### Step 2: Calculate the area of the playground
- The area \( A \) of a rectangle is calculated using the formula:
\[ A = \text{Length} \times \text{Breadth} \]
- Substituting the values we found:
\[ A = 5.2 \text{ m} \times 3.8 \text{ m} \]
- Performing the multiplication:
\[ A = 19.76 \text{ m}^2 \]

### Step 3: Calculate the cost of leveling the playground
- The cost of leveling is given as Rs. 6.5 per square meter.
- To find the total cost, we multiply the area by the cost per square meter:
\[ \text{Total Cost} = \text{Area} \times \text{Cost per square meter} \]
- Substituting the values:
\[ \text{Total Cost} = 19.76 \text{ m}^2 \times 6.5 \text{ Rs/m}^2 \]
- Performing the multiplication:
\[ \text{Total Cost} = 128.44 \text{ Rs} \]

### Final Answers:
- Area of the playground: \( 19.76 \text{ m}^2 \)
- Cost of leveling the playground: \( 128.44 \text{ Rs} \)