hitesh covers a distance of 7km 800m in making three rounds of a rectangular stadium. if the breath of the stadium is 320m, then find its length.
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Given,
Distance covered by Hiteh in making 3 rounds = 7 km 800 m
= 7800 m
Breadth of the stadium = 320m
Let the length of the stadium be 'ℓ'
Distance covered by Hiteh in 1 round = Perimeter of the stadium
Distance covered by Hiteh in making 3 rounds = 7800 m
Distance covered by Hiteh in 1 round = 7800/3
= 2600 m
∴ The distance covered by Hiteh in 1 round = 2600m
∴ The perimeter of the stadium = 2600 m
Perimeter of stadium = 2 ( ℓ + b )
2600 = 2 ( ℓ + 320)
ℓ + 320 = 2600/2
ℓ + 320 = 1300
ℓ = 1300 - 320
ℓ = 980 m
∴ The length of the stadium = 980 m
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