Question

Shika runs around a square of side 75m.Priya runs around a rectangle with length 60m and breadth 45m.who covers the small distance?​

Answer 1

Before, finding the answer. Let's find out how we can find the answer.

• In this question, we are asked who covers the smaller distance.
• So, to find that, we must find the Perimeter of both the Square and Rectangle.
• Now, the Perimeter of the Square is :

$\boxed{ \tt Perimeter \: of \: Square = s \times 4}$

• And the Perimeter of the Rectangle is :

$\boxed{ \tt Perimeter \: of \: Rectangle = (2 \times l) + (2 \times b)}$

• Now, we must compare them to find who has covered less distance.

_________________

Given :

• Side of Square = 75 m
• Length and Breadth of Rectangle = 60 m and 45 m

To find :

• who covers less distance

Solution :

Perimeter of Square $\tt = s \times 4$

                                  $\tt =75 \times 4$

                                  $\tt = 300 \: m$

Therefore, the perimeter of the Square is 300 m.

Perimeter of Rectangle  $\tt = (2 \times l) + (2 \times b)$

                                        $\tt = (2 \times 60) + (2 \times 45)$

                                        $\tt = (120) + (90)$

                                        $\tt = 210 \: m$

Therefore, the perimeter of the Rectangle is 210 m.

Comparing = Shika < Priya

                   = 300 < 210 m

Therefore, Priya covers small distance.