Pinky runs around a rectangular park with the length90m and breadth 45m while Pankaj runs square park of side 75m.Who covers more distance by how much?
Answers
Answer:
Pankaj covered 30 m more than Pinky.
Step-by-step explanation:
Pinky runs around a Rectangular park of -
- Length = 90 m
- Breadth = 45 m
Pankaj runs around a Square park of -
- Side = 75 m
To compare the distance covered by them, we need to find perimeter of the respective parks.
Keep in mind that both Pinky and Pankaj ran around the park only once.
★ Perimeter of Rectangle =
⇒ 2(Length + Breadth)
⇒ 2(90 + 45)
⇒ 2(135)
⇒ 270 m
Perimeter of the rectangular park = 270 m
Pinky covered 270 m.
★ Perimeter of Square =
⇒ Side × 4
⇒ 75 × 4
⇒ 300 m
Perimeter of the square park = 300 m
Pankaj covered 300 m.
★ Comparing the distance covered by both =
- Pankaj = 300 m
- Pinky = 270 m
⇒ 300 > 270
Distance covered by Pankaj > Distance covered by Pinky
Pankaj covered more distance.
⇒ 300 - 270
⇒ 30 m
Pankaj covered more distance by 30 m.
Therefore, Pankaj covered 30 m more than Pinky.
Length of a rectangular park= 90m
Breadth of the park= 45m
Therefore, perimeter of the rectangular park= 2×(90m+45m)
= 2× 135 = 270m
Therefore, Pinky runs around a rectangular park of 270m
Side of a square park= 75m
Therefore, Perimeter= 4×s
= 4×75m
= 300m
Therefore, Pankaj runs around a square park of 300m
Therefore, comparing= 300m, 270m
Therefore, 300m is greater than 270m, Pankaj ran a greater distance
By,
300m-270m
=30m