The sides of a rectangular field are in the ratio 3 : 4. If the area of the field is 10092 sq. m, the cost of fencing the field @ 25 paise per metre is  Options:  A) Rs. 55.50  B) Rs. 67.50  C) Rs. 86.50  D) Rs. 101.50  E) None of these
Solution   Let length = (3x) metres and breadth = (4x) metres.   Then, 3x × 4x = 10092⇔ 12x2 = 10092 ⇔ x2 = 841 ⇔ x = 29.   So, length = 87 m and breadth = 116 m.   Perimeter = [2(87 + 116)] m = 406 m.   ∴ Cost of fencing = Rs. (0.25 × 406) = Rs. 101.50. Answer Rs. 101.50
<result>D</result>
The sides of a rectangular field are in the ratio 3 : 4. If the area of the field is 10092 sq. m, the cost of fencing the field @ 25 paise per metre is