question_answer

A rectangular lawn 95m long and 65m broad has two roads each 15m wide running in the middle of it, one parallel to the length and the other parallel to the breadth. Find the cost of gravelling them at Rs. 35 per square metre.

A)  Rs. 76125

B)  Rs. 71625

C)  Rs. 51625

D)  Rs. 71652

E)  Rs. 66125

Correct Answer: A

Solution :

Area of gravelling = Ar(ABCD) + AR (PQRS) - Ar(EFGH) \[=[(95\times 15)+(65\times 15)-(15\times 15)]{{m}^{2}}\] \[=(1425+975-225)=2175{{m}^{2}}\] Cost of gravelling\[=Rs.(2175\times 35)=Rs.\,\,76125\]