Question

Akhil runs around a square field of side 75m,Nikhil runs around a rectangular field with length 160 m and breadth 105 m .Who cover more distance and by how much

Answer 1

Nikhil had covered more distance.

He covers 230 m more distance than Akhil .

Step-by-step explanation:

It is given that,

Dimension of the square field:

Side of the square field = 75 m

Dimension of the rectangular field:

Length, l = 160 m  

Breadth, b = 105 m.

Since it is also given that Akhil and Nikhil ran around the square and rectangular field respectively, so we will calculate the perimeter of each field separately and then compare.

Step 1:

The formula for the perimeter of the Square field is given by

Perimeter = 4 x Side.

Substituting the given value in the formula,  we get

Perimeter = 4 x 75  = 300 m

Therefore, Akhil ran a distance of 300 m.  ...... (i)

Step 2:

The formula for the perimeter of the Rectangular field is given by

Perimeter = 2 * (length + breadth)

Substituting the given values in the formula,  we get

Perimeter = 2 * (160 + 105)  = 2 x 265 = 530 m

Therefore, Nikhil ran a distance of 530 m.  ....... (ii)

Now after comparing eq. (i) & (ii), we get that Nikhil covers more distance.

∴ The difference between the two distance covered is,

= How much more distance Nikhil has covered

= 530 - 300

= 230 m

 

Therefore, Nikhil covered more distance than Akhil by 230 m.

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