Question

The length of a rectangular field is twice its breadth. Jamal jogged around it four times and covered a distance of 6 km. What is the length of the field?

Answer 1

Let breadth of rectangular field = x m

Then, length of rectangular field = 2x m

∵ Distance covered in one round = Perimeter

∴ Distance covered in four rounds = 4 × Perimeter

⇒ `4 xx 2(l + b)` = 6 km  .....[∵ Perimeter = 2(length + breadth)]

⇒ `8 xx (l + b)` = 6000 m   .....[∵ 1 km = 1000 m]

⇒ `8(2x + x)` = 6000 m

⇒ `24x` = 6000 m

⇒ `(24x)/24 = 6000/24`   .....[Dividing both sides by 24]

⇒ x = 250 m

∴ Length of the field = 2x = 2 × 250 = 500 m