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Question 07.The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:


A

(a) 15360

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B

(b) 153600

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C
(c) 30720
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D
(d) 307200
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Solution

The correct option is B

(b) 153600


Answer 07. (b)
Explanation:
Perimeter = Distance covered in 8 min. =(12000/60*8)m = 1600 m.
Let length = 3xmetres and breadth = 2xmetres.
Then, 2(3x + 2x) = 1600 or x = 160.
Length = 480 m and Breadth = 320 m.
Area = (480 * 320) m2 = 153600 m2.

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