Pinky runs around a square field of side 75m, Rosy runs around a rectangular field with length 160m and breadth 105m. Who covers more distance by how much?
Answers
Answer :-
- Rosy covered more distance than Pinky by 230m.
Step-by-step explanation :-
To Find,
- Who covers more distance and how much ??
Solution,
Given that,
- Side of a square field which Pinky runs = 75m
- Length and Breadth of the rectangular field in which Rosy runs = 160m and 105m respectively
Figure,
- Refer the attachment.
Therefore,
As we know that,
Perimeter of the square = 4 × a
Where,
- a = side
And given side of the square is 75m, therefore,
➛ Perimeter = 4a
➛ 4 × 75m
➛ 300m ★
Hence, the perimeter of the square is 300m.
As we know that,
Perimeter of rectangle = 2 ( l + b )
Where,
- l = Length
- b = Breadth
And given length and breadth is 160m and 105m respectively, therefore,
➛ Perimeter = 2 ( l + b )
➛ 2 ( 160 + 150 ) m
➛ 2 × 265
➛ 530m ★
Hence, the perimeter of the rectangular field is 530m.
Now, who covered more distance and how much,
We got,
Distance covered by Pinky = 300m
Distance covered by Rosy = 530
Hence, Rosy covered more distance than Pinky, by,
➛ 530m - 300m
➛ 230m
Hence, Rosy covered 230m more than Pinky.
Answer:
As we know that
Perimeter (rectangle)=2×(l+b)
Perimeter (square)=4×side
Distance covered by pinky:-
Perimeter=4×side
Perimeter=4×75
Perimeter=300m
Pinky covers a distance of 300m
Perimeter=2(l+b)
Perimeter=2(160+105)
Perimeter-2(265)
Perimeter=530m
Rosy covers more distance and by (530-300) 230m.
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