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?

Answer 1

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