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# 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. 153600
B. 15360
C. 307200
D. 30720

This question is part of ECT MATHEMATICS
Asked by Jandee_ece, Last updated: Dec 20, 2019

### Request 0Follow Share    Answer AnonymouslyAnswer Later Copy Link   12000 / 8 = 1500. so the x will be 150, 3150=450 and 2150=300, thus the area will be 135000 sq m    12000 / 8 = 1500. so the x will be 150, 3150=450 and 2150=300, thus the area will be 135000 sq m    #### John Smith

John Smith  Answered Oct 06, 2016

153600

Perimeter = Distance covered in 8 min. = (12000/8 m)(60) = 1600 m. Let length = 3x meters and breadth = 2x meters. Then, 2(3x + 2x) = 1600 or x = 160. Length = 480 m and Breadth = 320 m. Area = (480 x 320) = 153600 sq. m.    Search for Google images Select a recommended image
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