Niharika walks thrice around a square field of side 22 m . Girish walks twice around a rectangular field of length 10 m and breadth 12 m . Who covers more distance and by how much?

Options

A. Girish , 20 m
B. Niharika ,200 m
C. Girish ,176 m
D. Niharika ,176 m

Answer

To solve the problem, we need to calculate the distances covered by Niharika and Girish and then compare them.

### Step 1: Calculate the distance covered by Niharika
Niharika walks around a square field with a side length of 22 meters.

1. **Find the perimeter of the square field:**
\[ \text{Perimeter (P)} = 4 \times \text{side} = 4 \times 22 = 88 \text{ meters} \]

2. **Since Niharika walks thrice around the square field, the total distance covered by her is:**
\[ \text{Distance covered by Niharika} = 3 \times \text{Perimeter} = 3 \times 88 = 264 \text{ meters} \]

### Step 2: Calculate the distance covered by Girish
Girish walks around a rectangular field with a length of 10 meters and a breadth of 12 meters.

1. **Find the perimeter of the rectangular field:**
\[ \text{Perimeter (P)} = 2 \times (\text{Length} + \text{Breadth}) = 2 \times (10 + 12) = 2 \times 22 = 44 \text{ meters} \]

2. **Since Girish walks twice around the rectangular field, the total distance covered by him is:**
\[ \text{Distance covered by Girish} = 2 \times \text{Perimeter} = 2 \times 44 = 88 \text{ meters} \]

### Step 3: Compare the distances
Now we compare the distances covered by Niharika and Girish.

1. **Distance covered by Niharika:**
\[ 264 \text{ meters} \]

2. **Distance covered by Girish:**
\[ 88 \text{ meters} \]

3. **Difference in distance:**
\[ \text{Difference} = \text{Distance covered by Niharika} - \text{Distance covered by Girish} = 264 - 88 = 176 \text{ meters} \]

### Conclusion
Niharika covers more distance than Girish by 176 meters.