Question

mohit makes 8 full rounds of a rectangle field with length 120m and breadth 75m john make 10 full rounds of a square field with each side 100m find who covers larger distance and by how much​

Answer 1

GivEn:

• Length of Rectanglular field = 120 m

• Breadth of Rectanglular field = 75 m

• Sides of square field = 100 m

To find:

• Who covers larger distance and by how much?

SoluTion:

As per given Question,

Mohit makes 8 full rounds of a rectangle field.

As we know that,

★ Perimeter of Rectangle = 2(l + b)

Distance covered by Mohit in one round = Perimeter of rectangular field

$\implies$ 2(120 + 75)

$\implies$ 2(195)

$\implies$ 390 m

Therefore, Mohit covers 390 m to complete 1 round.

So, Distance covered by Mohit to complete 8 round is,

$\implies$ 8 × 390

$\implies$ 3120 m

━━━━━━━━━━━━━━━

Now, In case of John,

John make 10 full rounds of a square field.

As we know that,

★ Perimeter of Square = 4 × side

Distance covered by John in one round = Perimeter of square field

$\implies$ 4 × 100

$\implies$ 400 m

Therefore, John covers 400 m to complete 1 round.

So, Distance covered by John to complete 10 round is,

$\implies$ 400 × 10

$\implies$ 4000 m

Therefore, we can say that John covers greater distance than Mohit.

John covers greater distance than Mohit by,

$\implies$ 4000 - 3120

$\implies$ 480 m

$\rule{170}2$

★ Additional Information:

• Area of Rectangle = l × b

• Area of Square = side × side

Answer 2

Answer

Case - 1 : Mohit

Length of rectangle = 120 m

Breadth of rectangle = 75 m

No. of rounds = 8

So , Distance covered by Mohit is equals to 8 times the perimeter of rectangle

$:\to \rm 8\times [2\times (l+b)]\\\\:\to \rm 8\times [2\times (120+75)]\\\\:\to \rm 8\times [2\times (195)]\\\\:\to \rm 8\times 390\\\\:\to \rm 3120\ m\ \; \orange{\bigstar}$

So , Distance moved by Mohit is 3120 m

_________________________

Case - 2 : John

Side of square = 100 m

No. of rounds = 10

So , Distance moved by john is equals to 10 times the perimeter of square

$:\to \rm 10\times [4\times s]\\\\:\to \rm 10\times [4\times 100]\\\\:\to \rm 10\times [400]\\\\:\to \rm 4000\ m\ \; \green{\bigstar}$

So , Distance moved by John is 4000 m

_________________________

So , John covers larger distance than Mohit by 880 m

[ ∵ 4000 - 3120 = 880 m ]