Pinky runs around a square field of side `75m`, Bobby runs around a rectangular field with length `160m` and breadth `105m`. Who covers more distance by how much?

Options

A. Bobby; `530 m`
B. Pinky; `300 m`
C. Bobby; `230 m`
D. Pinky; `230 m`

Answer

To solve the problem, we need to calculate the distance covered by Pinky and Bobby and then compare the two distances.

### Step 1: Calculate the distance covered by Pinky
Pinky runs around a square field. The formula for the perimeter (distance) of a square is given by:

\[ \text{Perimeter of a square} = 4 \times \text{side} \]

Given that the side of the square is \(75 \, m\):

\[ \text{Distance covered by Pinky} = 4 \times 75 = 300 \, m \]

### Step 2: Calculate the distance covered by Bobby
Bobby runs around a rectangular field. The formula for the perimeter (distance) of a rectangle is given by:

\[ \text{Perimeter of a rectangle} = 2 \times (\text{length} + \text{breadth}) \]

Given that the length is \(160 \, m\) and the breadth is \(105 \, m\):

\[ \text{Distance covered by Bobby} = 2 \times (160 + 105) \]

First, calculate \(160 + 105\):

\[ 160 + 105 = 265 \]

Now, multiply by 2:

\[ \text{Distance covered by Bobby} = 2 \times 265 = 530 \, m \]

### Step 3: Compare the distances
Now we need to determine who covered more distance and by how much:

\[ \text{Difference} = \text{Distance covered by Bobby} - \text{Distance covered by Pinky} \]

Substituting the values we found:

\[ \text{Difference} = 530 - 300 = 230 \, m \]

### Conclusion
Bobby runs more than Pinky by \(230 \, m\).