Manisha takes 4 rounds along a rectangular park 220m long and 170 m wide. Roshni takes 6 rounds along a square park with side 180m. Who walks more and by how much ?
Answers
Answer:
Roshini walks more than Manisha.
Difference = 1560m
Step-by-step explanation:
Area of the rectangular park,
A = 2(l+b) = 2(220+170) = 2(390) = 780m
Roshini walk along,
6(780) = 4680m
Manisha walk along,
4(780) = 3120m
difference = 4680-3120
= 1560m
Before, finding the answer. Let's find out how we can find the answer.
- In this question, we are asked to find who walks more and by how much around parks.
- So, to find that, we have to first find the Perimeter of the Rectangular Park and Square park.
- Then, we must multiply the perimeter by the number of rounds.
- And, at last, to find who walks more, we have to compare both the perimeters and to find by how much we have to subtract the Perimeters of both the Park's.
_________________________________
Given :
- Length and Breadth = 220 m and 170 m
- No of rounds by Manisha = 4
- Side of Park = 180 m
- No of rounds by Roshini = 6
To find :
- who walks more and by how much
Solution :
Perimeter of Rectangular Field = (2 × l) + (2 × b)
= (2 × 220) + (2 × 170)
= 440 + 340
= 780 m
~No of rounds by Manisha = 780 × 4
= 3120 m
Perimeter of Square field = 4 × s
= 4 × 180
= 720 m
~No of rounds by Roshini = 720 × 6
= 4320 m
- Let's compare,
Roshini > Manisha
- By how much?
By how much = 4320 - 3120
= 1200
Therefore, the Roshini walks more than Roshini by 1200 m.