The length and breadth of three rectangles are 16m, 8m, 15 m, 12 m, and 10m, 12 m. Which one has the largest area and which one has the smallest?

Answer

To determine which rectangle has the largest and smallest area, we will calculate the area of each rectangle using the formula for the area of a rectangle, which is:

**Area = Length × Breadth**

### Step-by-Step Solution:

1. **Identify the dimensions of the rectangles:**
- Rectangle 1: Length = 16 m, Breadth = 8 m
- Rectangle 2: Length = 15 m, Breadth = 12 m
- Rectangle 3: Length = 10 m, Breadth = 12 m

2. **Calculate the area of Rectangle 1:**
- Area of Rectangle 1 = Length × Breadth
- Area of Rectangle 1 = 16 m × 8 m
- Area of Rectangle 1 = 128 m²

3. **Calculate the area of Rectangle 2:**
- Area of Rectangle 2 = Length × Breadth
- Area of Rectangle 2 = 15 m × 12 m
- Area of Rectangle 2 = 180 m²

4. **Calculate the area of Rectangle 3:**
- Area of Rectangle 3 = Length × Breadth
- Area of Rectangle 3 = 10 m × 12 m
- Area of Rectangle 3 = 120 m²

5. **Compare the areas of the rectangles:**
- Area of Rectangle 1 = 128 m²
- Area of Rectangle 2 = 180 m²
- Area of Rectangle 3 = 120 m²

6. **Determine the largest and smallest areas:**
- The largest area is 180 m² (Rectangle 2).
- The smallest area is 120 m² (Rectangle 3).

### Final Answer:
- Rectangle 2 has the largest area (180 m²).
- Rectangle 3 has the smallest area (120 m²).

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