A boy runs around a rectangular ground. Its length is thrice its breadth. If the boy covers 2 km in 5 rounds, what is the length of the ground?
Md Ariful Islam
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Dr. Md Rushad Rahman
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The length (l) equals three times the width (w), so that l = 3w. The perimeter is twice the length plus twice the width, or 2 l + 2 w, which is 2(3w) + 2 w, so that the perimeter equals 8 w. We're told that five perimeters equals 2 km, so that 5(8w) = 40w = 2 km. That means that w = 1/20 km. That means that l = 3(1/20 km) = 3/20 km.
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