The length of the floor of a rectangular auditorium is 6m more than the radius of a circle with a circumference of 572m. The perimeter of the floor of the rectangular auditorium is 356m. What will be the cost of flooring the auditorium (only the floor of the auditorium), if the cost of flooring is Rs. 12/m?
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Answer:
Circumference of the circle =572m.
Radius of the circle= 2×22
572 ×7=91m
Length of the auditorium =91+6=97m
Width of the auditorium = 2
356−97=81m
Cost of flooring =12×97×81
=Rs.94284.
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Answer:
your answer my friend
Step-by-step explanation:
Circumference of circle = 2πr
=> 572 = 2×227×r
=> r=572×72×22=91
∴ Length of floor = 91 + 6
= 97 metre = l
∴ 2 (l + b) = 356
=> 2 (97 + b) = 356
=> 97 + b = 178
=> b = 178 - 97 = 81 metre
∴ Area of floor = 97×81
= 7857 sq. metre
∴ Required cost = 12×7857
= Rs. 94284
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