Question
Length of the floor of rectangular auditorium is 6 meter more than the radius of a circle with a circumference of 572 m. The perimeter of the floor of the rectangular auditorium is 356 m. What will be cost of flooring the auditorium (Only the floor of the auditorium), if the cost of flooring is Rs. 12/m2
Answer: Option C
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Circumference of circle = 2Ï€r
=> 572 = 2 * 22/7 * r
=> r = (572 * 7)/2*22 = 91
Length of floor = 91+6 = 97 metre = l
2(l+b) = 356
2(97 + b) = 178
=> b = 178 - 97 = 81 metre
Area of floor = 97 * 81 = 7857 sq.meter
Required cost = 12 * 7857 =Rs. 94284
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