पारूल 25m वाले वर्गाकार क्षेत्र के दो चक्कर लगाती है तथा सोनू 20 m लम्बाई व 14m चौड़ाई वाले आयताकार क्षेत्र के तीन चक्कर लगाता है। बताइये किसने और कितनी दूरी ज्यादा तय की?

Options

A. सोनू, 4m
B. पारूल, 6m
C. सोनू, 204m
D. पारूल, 8m

Answer

To solve the problem, we need to calculate the distance covered by both Parul and Sonu and then compare the two distances.

### Step 1: Calculate the distance covered by Parul
Parul runs around a square field with each side measuring 25 meters. The perimeter (P) of a square is given by the formula:
\[ P = 4 \times \text{side} \]

For Parul:
\[ P = 4 \times 25 = 100 \text{ meters} \]

Since Parul runs 2 laps around the square field:
\[ \text{Total distance by Parul} = 2 \times 100 = 200 \text{ meters} \]

### Step 2: Calculate the distance covered by Sonu
Sonu runs around a rectangular field with a length of 20 meters and a width of 14 meters. The perimeter (P) of a rectangle is given by the formula:
\[ P = 2 \times (\text{length} + \text{width}) \]

For Sonu:
\[ P = 2 \times (20 + 14) = 2 \times 34 = 68 \text{ meters} \]

Since Sonu runs 3 laps around the rectangular field:
\[ \text{Total distance by Sonu} = 3 \times 68 = 204 \text{ meters} \]

### Step 3: Compare the distances
Now we compare the total distances covered by Parul and Sonu:
- Distance covered by Parul = 200 meters
- Distance covered by Sonu = 204 meters

### Conclusion
Sonu covered more distance than Parul. The difference in distance is:
\[ \text{Difference} = 204 - 200 = 4 \text{ meters} \]

Thus, Sonu covered 4 meters more than Parul.

---