SSC CGL 30 Aug 2015 Paper

Question : 134 of 200

Marks: +1, -0

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 kmph completes one round in 8 minutes, then the area of the park is equal to

152600 $m^2$
153500 $m^2$
153600 $m^2$
153800 $m^2$

Validate

Solution:

Length of park = 3x metre
(let)
Breadth = 2x metre
Perimeter of park = Distance covered by cyclist
=

{12×8}/{60}

8/5

km
=

(8/5×1000)

metre
= 1600 metre
According to the question,
2 (3x + 2x) = 1600
⇒ 10x = 1600 ⇒ x =

{1600}/{10}

= 160
∴ Area of the park = 3x × 2x
=

6x^2

= 6 ×

(160)^2

= 153600 sq. metre

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