Question

. Sita runs around a square field of side 110 m, Sheela runs around a rectangular field with

Length 115 m and breadth 85 m. Who covers more distance and by how much?​

Answer 1

Sheela runs more than Sita

Answer 2

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

• First, we must find the Perimeter of both the Field. To find the Perimeter of Square Field, we must use the formula of :

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

• To find the Perimeter of Rectangular Field, we must use the formula of :

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

• Then, we must subtract the Perimeter of Square and Rectangle. To find who has covered more.

_________________

Given :

• Side of Square Field = 110 m
• Length and Breadth of Rectangular Field =  115 m and 85 m.

To find :

• who has covered more distance and by how much. ​

Solution :

Perimeter of Square Field = s × 4

                                           = 110 × 4

                                           = 440 m

∴ Perimeter of Square Field is 440 m.

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Perimeter of Rectangular field = (2 × l) + (2 × b)

                                                  = (2 × 115) + (2 × 85)

                                                  = 230 + 170

                                                  = 400 m

∴ Perimeter of Rectangular Field is 400 m.

⇔ Who has covered more?

• Perimeter of Square > Perimeter of Rectangle

440 m > 400 m

⇔ By how much?

Difference = 440 - 400

                  = 40 m

∴ Hence, Sita has covered more distance by 40 m.