Question

Pinky runs $8$times around a rectangular park with length $80m$ and breadth $55m$ while Pankaj runs $7$ times around a square park of side $75m.$ Who covers more distance and by how much ?

Answer 1

Distance covered by Pinky is $8$ times of perimeter of rectangular park$=8\times 2(L+B)$

$$\begin{gathered} =8\times 2(80+55)m \\ =8\times 2\times 135m \\ =2160m \end{gathered}$$

Distance covered by panakj is $7$ times of perimeter of square park$=7\times (4\times sides)$

$$\begin{gathered} =7\times (4\times sides)m \\ =7\times 4\times 75m \\ =2100m \end{gathered}$$

So ,it is clear that Pinky runs more $$\begin{gathered} =(2160-2100)m \\ =60m \end{gathered}$$

Hence pinky runs more distance by $60m$ as comparison to the Pankaj.