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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»

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

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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


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