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Length of a rectangular field is 250m and width is 150m. Anuradha runs around this field 3 times. She ran ____ around the field to cover a distance of 4km.

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Detailed Solution

Length of a rectangular field is 250m and width is 150m. Anuradha runs around this field 3 times. She ran {fill_regular} around the field to cover a distance of 4km.
Given that length of the rectangular field = 250 m and width of the rectangular field = 150 m.
Question Image

Question Image

First, we will find the perimeter of the field.
∴ Perimeter of the field = 2

\times

(l + b)
= 2

\times

(250 + 150)
= 2

\times

400
= 800
Hence, the perimeter of the field is 800 m.
∴ Perimeter of the field = Distance covered in one round
∴ Distance covered in 3 rounds = 3

\times

Perimeter of the field
= 3

\times

800
= 2400 m
Suppose the number of rounds to cover 4 km be x.
Distance covered in x number of rounds = x

\times

Perimeter of the field
4000 = x

\times

800 (∴ 4 km = 4000 m )
∴ x =

\frac{4000}{800}

∴ x = 5
Hence, she should run 5 times around the field to cover the distance of 4km.

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