Question

Sonu runs around a square park of side $80m$ five times. What distance does he cover? Ankit runs thrice around a rectangular park of length $250m$ and breadth $150m$. What distance does he cover? Who covers more distance and by how much?

Answer 1

Step 1: Finding the Distance covered by Sonu
Given that,
Side of the square park $=80m$
Perimeter of the square park$=4\times side$

$$\begin{gathered} =4\times 80 \\ =320m \end{gathered}$$

Distance covered by Sonu $=5\times$ Perimeter of the square park

$$\begin{gathered} =5\times 320 \\ =1600m \end{gathered}$$

Step 2: Finding the Distance covered by Ankit
Given that,
Length of the rectangular park $=250m$
Breadth of the rectangular park $=150m$
Perimeter of the rectangular park $=2\times (\mathrm{length}+\mathrm{breadth})$

$$\begin{gathered} =2\times (250+150) \\ =2\times 400 \\ =800m \end{gathered}$$
Distance covered by Ankit $=3\times$Perimeter of the rectangular park

$$\begin{gathered} =3\times 800 \\ =2400m \end{gathered}$$

Step 3: Comparing the distance covered by Sonu and Ankit

Clearly, Ankit covers more distance by$=2400-1600=800m$

Hence, Ankit covers more distance by $800m$.