Mensuration Test

Result

Mensuration Test - 4

Score
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Rank
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Weekly Quiz Competition

Question 1
1 / -0

The perimeter of a rhombus is 240 m and the distance between any two parallel sides is 20 m. The area of the rhombus (in sq.m) is

A
600

B
1200

C
2400

D
4800

Solution

Perimeter of the rhombus = 240 m
Each side of the rhombus = 60 m
Since rhombus is also a parallelogram,
Area = base × height = 60 m × 20 m = 1200 m²
Hence, answer option 2 is correct.
Question 2
1 / -0

A circular stage is to be made in a school.The radius of the stage is 30 m. Now a circular pavement of 10 m width is to be made around it. This has to be covered with red carpet. The cost of red carpet is Rs. 15 per square m. What will be the total cost of carpeting?

A
Rs. 35,000

B
Rs. 34,000

C
Rs. 33,600

D
Rs. 32,970

Solution

Area of the circular stage = π(30)² m² = 900π m²
Area including the circular stage and the circular path = 1600π m²

So, area of the circular path = π[(1600 - 900] m² = 700 πm² = 2198 m²
Cost of covering the path with red carpet = Rs. 2198 x 15 = Rs. 32,970