The sides of a rectangular park are in the ratio 3 2 and its area is 3 750 m2 The cost of fencing it...........

Quantitative Aptitude ( CCS) Mensuration 2D

The sides of a rectangular park are in the ratio 3 : 2 and its area is 3,750 m2. The cost of fencing it at 50 paisa per metre is:

Rs. 312.50

Rs. 375

Rs. 187.50

Rs. 125

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Explanation:

Let the length and the breadth of the rectangular park be 3a and 2a, respectively.
Therefore, (3a) x (2a) = 3750
⇒ 6a² = 3750
⇒ a² = 625
⇒ a = 25 m
Hence, length = 3 x 25 = 75 m and breadth = 2 x 25 = 50 m
Now, perimeter of the rectangular park = 2(Length + Breadth) = 2(75 + 50) = 250 m
Cost of fencing it at the rate of 0.50 per m = 250 x 0.50 = Rs. 125