Every morning ,Sita and Gita go for a jog. Sita takes takes 3 rounds of a square park of side 200 m , while Gita takes 4 rounds of a rectangular park of the length 150 m and breadth 100 m. Who covers greater distance and how much ?. Single choice.
Sita covers greater distance by 450 m
Sita covers greater distance by 400 m
Geeta covers greater distance by 2050 m
Answers
Answer :
Sita covers greater distance by 400 m
Step-by-step explanation :
Given,
- Sita takes takes 3 rounds of a square park of side 200 m
- Gita takes 4 rounds of a rectangular park of the length 150 m and breadth 100 m.
Distance covered by Sita :
Side of the square = 200 m
Distance covered by Sita for one round will be equal to the Perimeter of the square park.
Perimeter of the square park,
= 4(side)
= 4(200 m)
= 800 m
Sita takes 3 rounds.
Hence, the distance covered by Sita for 3 rounds = 3(Perimeter of the square park)
= 3(800 m)
= 2400 m
Distance covered by Gita :
The length of the rectangular park = 150 m
The breadth of the rectangular park = 100 m
The distance covered by Gita for one round is equal to the Perimeter of the rectangular park.
Perimeter of the rectangular park = 2(length + breadth)
= 2(150 m + 100 m)
= 2(250 m)
= 500 m
The distance covered for 4 rounds
= 4(Perimeter of the rectangular park)
= 4(500 m)
= 2000 m
Therefore,
- Sita covers a distance of 2400 m
- Gita covers a distance of 2000 m
Sita covers greater distance by 400 m