The length of a rectangular field twice its breadth. A man jogged around it 5 times and covered a distance of 3 km. What is the length of the field?

Dear Student!

Let the breadth of the rectangular field be x m.

Given, Length of the rectangular field = 2 × Breadth of the rectangular field

∴ Length of the rectangular field = 2x m

Perimeter of the rectangular field = 2 (l + b) = 2 (2x + x) m = 2 × 3x m = 6x m

Given, Distance jogged by the man = 3 km

Distance jogged by the man = 5 × Perimeter of the rectangular field = 5 × 6 x m = 30 x m

∴ 30x = 3000    ( ∵ 1 km = 1000 m)

Length of the rectangular field = 2x = 2 × 100 = 200 m.

Cheers!