Find the area of the rectangle whose dimensions are:(i) length = 24.5 m, breadth = 18 m (ii) length = 12.5 m, breadth = 8 dm.

Answer

To find the area of the rectangles given in the question, we will use the formula for the area of a rectangle:

**Area = Length × Breadth**

### Part (i): Length = 24.5 m, Breadth = 18 m

1. **Identify the dimensions**:
- Length = 24.5 m
- Breadth = 18 m

2. **Apply the formula**:
- Area = Length × Breadth
- Area = 24.5 m × 18 m

3. **Calculate the area**:
- Area = 24.5 × 18
- To simplify the multiplication:
- 24.5 can be expressed as 245/10
- Therefore, Area = (245/10) × 18
- Area = (245 × 18) / 10
- Area = 4410 / 10
- Area = 441 m²

### Part (ii): Length = 12.5 m, Breadth = 8 dm

1. **Identify the dimensions**:
- Length = 12.5 m
- Breadth = 8 dm

2. **Convert the breadth from decimeters to meters**:
- Since 1 dm = 0.1 m, we convert:
- Breadth = 8 dm = 8 × 0.1 m = 0.8 m

3. **Apply the formula**:
- Area = Length × Breadth
- Area = 12.5 m × 0.8 m

4. **Calculate the area**:
- Area = 12.5 × 0.8
- To simplify the multiplication:
- 12.5 can be expressed as 125/10
- Therefore, Area = (125/10) × (8/10)
- Area = (125 × 8) / 100
- Area = 1000 / 100
- Area = 10 m²

### Final Results:
- Area of the first rectangle = 441 m²
- Area of the second rectangle = 10 m²

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