Question

Length of the floor of a rectangular auditorium is $6$m 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 the cost of flooring the auditorium(only the floor of the auditorium), if the cost of flooring is Rs. $12/m^2?$

• A. Rs. $87,954$
• B. Rs. $91,236$
• C. Rs. $94,284$
• D. Rs. $75,490$
• E. None of these

Answer 1

Answer: (C)

Rs. $94,284$

Circumference of the circle $=572$m.
Radius of the circle$=\frac{572}{2\times 22}\times 7=91$m
Length of the auditorium $=91+6=97$m
Width of the auditorium $=\frac{356}{2}-97=81$m
Cost of flooring $=12\times 97\times 81$
$=Rs.94284$.