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Their is a square field whose size is 44 meter a square flower bed prepared at center leaving a gravel path all around the flower bed the total cost of lank the flower bed and gravelling path Rs2. 75 and rs 1.50 per meter square respectively is Rs 4904 find the worth of gravel?
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Their is a square field whose size is 44 meter a square flower bed pre...
Given Information:
- Size of the square field: 44 meters
- Cost of landscaping the flower bed: Rs 2.75 per square meter
- Cost of gravelling the path: Rs 1.50 per square meter
- Total cost: Rs 4904
Calculating the Area of the Flower Bed:
- Since the flower bed is at the center, it will also be a square
- Let the side of the flower bed be x meters
- The area of the flower bed = x^2
Calculating the Area of the Gravel Path:
- The outer square formed by the path will have sides of (44-2x) meters
- The area of the outer square = (44-2x)^2
- Area of the path = Area of outer square - Area of flower bed
- Area of the path = (44-2x)^2 - x^2
Calculating the Total Cost:
- Total cost = Cost of flower bed + Cost of gravel path
- Total cost = 2.75(x^2) + 1.50[(44-2x)^2 - x^2]
Solving the Equation:
- Total cost = 2.75x^2 + 1.50(44^2 - 176x + 4x^2 - x^2)
- Total cost = 2.75x^2 + 1.50(1936 - 176x + 4x^2 - x^2)
- Total cost = 2.75x^2 + 1.50(1936 - 175x + 3x^2)
- Total cost = 2.75x^2 + 2904 - 262.5x + 4.5x^2
- Total cost = 6.25x^2 - 262.5x + 2904
Final Calculation:
- 6.25x^2 - 262.5x + 2904 = 4904
- 6.25x^2 - 262.5x - 2000 = 0
- Solving the quadratic equation, x = 16 meters
Calculating the Worth of Gravel:
- Area of the gravel path = (44-2*16)^2 - 16^2 = 12^2 - 16^2 = 144 - 256 = 112 sq.m
- Cost of gravelling the path = 1.50 * 112 = Rs 168
Therefore, the worth of gravel is Rs 168.
- Size of the square field: 44 meters
- Cost of landscaping the flower bed: Rs 2.75 per square meter
- Cost of gravelling the path: Rs 1.50 per square meter
- Total cost: Rs 4904
Calculating the Area of the Flower Bed:
- Since the flower bed is at the center, it will also be a square
- Let the side of the flower bed be x meters
- The area of the flower bed = x^2
Calculating the Area of the Gravel Path:
- The outer square formed by the path will have sides of (44-2x) meters
- The area of the outer square = (44-2x)^2
- Area of the path = Area of outer square - Area of flower bed
- Area of the path = (44-2x)^2 - x^2
Calculating the Total Cost:
- Total cost = Cost of flower bed + Cost of gravel path
- Total cost = 2.75(x^2) + 1.50[(44-2x)^2 - x^2]
Solving the Equation:
- Total cost = 2.75x^2 + 1.50(44^2 - 176x + 4x^2 - x^2)
- Total cost = 2.75x^2 + 1.50(1936 - 176x + 4x^2 - x^2)
- Total cost = 2.75x^2 + 1.50(1936 - 175x + 3x^2)
- Total cost = 2.75x^2 + 2904 - 262.5x + 4.5x^2
- Total cost = 6.25x^2 - 262.5x + 2904
Final Calculation:
- 6.25x^2 - 262.5x + 2904 = 4904
- 6.25x^2 - 262.5x - 2000 = 0
- Solving the quadratic equation, x = 16 meters
Calculating the Worth of Gravel:
- Area of the gravel path = (44-2*16)^2 - 16^2 = 12^2 - 16^2 = 144 - 256 = 112 sq.m
- Cost of gravelling the path = 1.50 * 112 = Rs 168
Therefore, the worth of gravel is Rs 168.
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Their is a square field whose size is 44 meter a square flower bed prepared at center leaving a gravel path all around the flower bed the total cost of lank the flower bed and gravelling path Rs2. 75 and rs 1.50 per meter square respectively is Rs 4904 find the worth of gravel?
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Their is a square field whose size is 44 meter a square flower bed prepared at center leaving a gravel path all around the flower bed the total cost of lank the flower bed and gravelling path Rs2. 75 and rs 1.50 per meter square respectively is Rs 4904 find the worth of gravel? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Their is a square field whose size is 44 meter a square flower bed prepared at center leaving a gravel path all around the flower bed the total cost of lank the flower bed and gravelling path Rs2. 75 and rs 1.50 per meter square respectively is Rs 4904 find the worth of gravel? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Their is a square field whose size is 44 meter a square flower bed prepared at center leaving a gravel path all around the flower bed the total cost of lank the flower bed and gravelling path Rs2. 75 and rs 1.50 per meter square respectively is Rs 4904 find the worth of gravel?.
Their is a square field whose size is 44 meter a square flower bed prepared at center leaving a gravel path all around the flower bed the total cost of lank the flower bed and gravelling path Rs2. 75 and rs 1.50 per meter square respectively is Rs 4904 find the worth of gravel? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Their is a square field whose size is 44 meter a square flower bed prepared at center leaving a gravel path all around the flower bed the total cost of lank the flower bed and gravelling path Rs2. 75 and rs 1.50 per meter square respectively is Rs 4904 find the worth of gravel? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Their is a square field whose size is 44 meter a square flower bed prepared at center leaving a gravel path all around the flower bed the total cost of lank the flower bed and gravelling path Rs2. 75 and rs 1.50 per meter square respectively is Rs 4904 find the worth of gravel?.
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