Mensuration Practice Test 3

Question : 24 of 40

Marks: +1, -0

The 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 cost of flooring the 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\/m^2

Rs 87,954
Rs 91,236
Rs 94,284
Rs 75,490
None of these

Validate

Solution:

Radius of the circle = 2πr = 572 m.
r =

{572×7}/{22×2}

= 91 m
Length of the floor rectangular auditorium
= 91 + 6 = 97 m.
Perimeter of the floor = 3 (l + b)
= 2 (97 b) = 356 m.
= 194 + 2b = 356
= 2b = 162
b =

{162}/2

= 81
Area of the rectangular auditorium = l × b
= 97 × 81
= 7,857

m^2

Cost of flooring = 7,857 × 12 = Rs 94,284

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