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Question
Rahim and Peter go for a morning walk, Rahim walks around a square path of side 50 m and Peter walks around a rectangular path with length 40 m and breadth 30 m. If both of them walk 2 rounds each, who covers more distance and by how much?
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Solution
Perimeter of the square = (4 × side) units
Side of the square = 50 m
∴ Perimeter = 4 × 50 m = 200 m
Rahim walked twice around the park
∴ Total distance walked by Rahim = 2 × 200 m
Total distance covered by Rahim = 400 m
Perimeter of a rectangle = 2(length + breadth) unit
Length = 40 m
Breadth = 30 m
∴ Perimeter = 2 × (40 + 30) m
= (2 × 70) m
= 140 m
Peter walked around twice
∴ Distance covered by Peter = 2 × 140 m
= 280 m
∴ Distance covered by Peter = 280 m
400 m > 280 m
Difference = 480 – 280
= 120 m
∴ Rahim covers 120 m more than Peter
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