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In a room whose floor is a square of side 10 m, an equilateral triangular table of side 2 m is placed. Four book shelves of size 4 m × 1 m × 9 m are also placed in the room. If the half of the rest of the area in the room is to be carpeted at the rate of Rs 100 per square meter, what is the cost of carpeting (approximately)?
- a)Rs. 7600
- b)Rs. 5635
- c)Rs. 4113
- d)Rs. 3200
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
In a room whose floor is a square of side 10 m, an equilateral triangu...
Area to be carpeted = ½ × (Area of the square floor – Area of the equilateral triangle – 4 × Area of book shelves)
⇒ ½ × (side2 – √3/4 × side2 – 4 × l × b)
⇒ ½ × (102 – √3/4 × 22 – 4 × 4 × 1)
⇒ ½ × (100 – √3 – 16)
√3 ≈ 1.732
∴ Area to be carpeted = 41.134 m2
Cost = 41.134 × 100 ≈ Rs 4113
⇒ ½ × (side2 – √3/4 × side2 – 4 × l × b)
⇒ ½ × (102 – √3/4 × 22 – 4 × 4 × 1)
⇒ ½ × (100 – √3 – 16)
√3 ≈ 1.732
∴ Area to be carpeted = 41.134 m2
Cost = 41.134 × 100 ≈ Rs 4113
Most Upvoted Answer
In a room whose floor is a square of side 10 m, an equilateral triangu...
Calculation of Area to be Carpeted
- Total area of the room = side of the square floor * side of the square floor = 10m * 10m = 100 sq.m
- Area of the equilateral triangular table = (sqrt(3) / 4) * side^2 = (sqrt(3) / 4) * 2m * 2m = sqrt(3) sq.m
- Area taken up by the table = sqrt(3) sq.m
- Area of one bookshelf = 4m * 1m = 4 sq.m
- Area taken up by four bookshelves = 4 * 4 sq.m = 16 sq.m
- Total area taken up by the table and bookshelves = sqrt(3) sq.m + 16 sq.m
- Remaining area to be carpeted = Total area of the room - Total area taken up by the table and bookshelves
- Remaining area = 100 sq.m - (sqrt(3) sq.m + 16 sq.m)
Cost of Carpeting
- Half of the remaining area to be carpeted = 1/2 * (100 sq.m - (sqrt(3) sq.m + 16 sq.m))
- Cost of carpeting per square meter = Rs 100
- Cost of carpeting = (1/2 * (100 sq.m - (sqrt(3) sq.m + 16 sq.m))) * Rs 100
Calculation
- Cost of carpeting = (1/2 * (100 - (sqrt(3) + 16))) * 100
- Cost of carpeting = (1/2 * (84 - sqrt(3))) * 100
- Cost of carpeting ≈ (42 - 1.73) * 100
- Cost of carpeting ≈ 40.27 * 100
- Cost of carpeting ≈ Rs. 4113
Therefore, the approximate cost of carpeting the remaining half of the room is Rs. 4113.
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In a room whose floor is a square of side 10 m, an equilateral triangular table of side 2 m is placed. Four book shelves of size 4 m × 1 m × 9 m are also placed in the room. If the half of the rest of the area in the room is to be carpeted at the rate of Rs 100 per square meter, what is the cost of carpeting (approximately)?a)Rs. 7600b)Rs. 5635c)Rs. 4113d)Rs. 3200Correct answer is option 'C'. Can you explain this answer?
Question Description
In a room whose floor is a square of side 10 m, an equilateral triangular table of side 2 m is placed. Four book shelves of size 4 m × 1 m × 9 m are also placed in the room. If the half of the rest of the area in the room is to be carpeted at the rate of Rs 100 per square meter, what is the cost of carpeting (approximately)?a)Rs. 7600b)Rs. 5635c)Rs. 4113d)Rs. 3200Correct answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about In a room whose floor is a square of side 10 m, an equilateral triangular table of side 2 m is placed. Four book shelves of size 4 m × 1 m × 9 m are also placed in the room. If the half of the rest of the area in the room is to be carpeted at the rate of Rs 100 per square meter, what is the cost of carpeting (approximately)?a)Rs. 7600b)Rs. 5635c)Rs. 4113d)Rs. 3200Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a room whose floor is a square of side 10 m, an equilateral triangular table of side 2 m is placed. Four book shelves of size 4 m × 1 m × 9 m are also placed in the room. If the half of the rest of the area in the room is to be carpeted at the rate of Rs 100 per square meter, what is the cost of carpeting (approximately)?a)Rs. 7600b)Rs. 5635c)Rs. 4113d)Rs. 3200Correct answer is option 'C'. Can you explain this answer?.
In a room whose floor is a square of side 10 m, an equilateral triangular table of side 2 m is placed. Four book shelves of size 4 m × 1 m × 9 m are also placed in the room. If the half of the rest of the area in the room is to be carpeted at the rate of Rs 100 per square meter, what is the cost of carpeting (approximately)?a)Rs. 7600b)Rs. 5635c)Rs. 4113d)Rs. 3200Correct answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about In a room whose floor is a square of side 10 m, an equilateral triangular table of side 2 m is placed. Four book shelves of size 4 m × 1 m × 9 m are also placed in the room. If the half of the rest of the area in the room is to be carpeted at the rate of Rs 100 per square meter, what is the cost of carpeting (approximately)?a)Rs. 7600b)Rs. 5635c)Rs. 4113d)Rs. 3200Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a room whose floor is a square of side 10 m, an equilateral triangular table of side 2 m is placed. Four book shelves of size 4 m × 1 m × 9 m are also placed in the room. If the half of the rest of the area in the room is to be carpeted at the rate of Rs 100 per square meter, what is the cost of carpeting (approximately)?a)Rs. 7600b)Rs. 5635c)Rs. 4113d)Rs. 3200Correct answer is option 'C'. Can you explain this answer?.
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