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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?
Solution
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
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