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The length and breadth of a rectangular park are in the ratio 5:3. If the area of the park is 8640m², find the cost of fencing it at a rate of rupees 35 per metre?
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The length and breadth of a rectangular park are in the ratio 5:3. If ...
Given Information:
- The length and breadth of a rectangular park are in the ratio 5:3.
- The area of the park is 8640m².
- The cost of fencing is rupees 35 per metre.
To Find:
- The cost of fencing the park.
Assumptions:
- The park is a rectangular shape.
- The fence will be placed along the perimeter of the park.
Solution:
Step 1: Understand the Problem
We are given the ratio of the length and breadth of a rectangular park. We need to determine the cost of fencing the park, given that the cost per meter of fencing is 35 rupees.
Step 2: Identify the Formula
The formula to calculate the cost of fencing a rectangular park is:
Cost of Fencing = Perimeter of the Park * Cost per meter
Step 3: Find the Perimeter of the Park
Let's assume that the length of the park is 5x and the breadth is 3x, where x is a common factor.
The area of the park is given as 8640m².
Therefore, we can write the equation:
Length * Breadth = Area
(5x) * (3x) = 8640
15x² = 8640
x² = 8640/15
x² = 576
x = √576
x = 24
So, the length of the park = 5x = 5 * 24 = 120m
And the breadth of the park = 3x = 3 * 24 = 72m
The perimeter of the park = 2 * (Length + Breadth) = 2 * (120 + 72) = 384m
Step 4: Calculate the Cost of Fencing
Cost of Fencing = Perimeter of the Park * Cost per meter
Cost of Fencing = 384 * 35 = 13,440 rupees
Step 5: Answer
The cost of fencing the park at a rate of rupees 35 per meter is 13,440 rupees.
- The length and breadth of a rectangular park are in the ratio 5:3.
- The area of the park is 8640m².
- The cost of fencing is rupees 35 per metre.
To Find:
- The cost of fencing the park.
Assumptions:
- The park is a rectangular shape.
- The fence will be placed along the perimeter of the park.
Solution:
Step 1: Understand the Problem
We are given the ratio of the length and breadth of a rectangular park. We need to determine the cost of fencing the park, given that the cost per meter of fencing is 35 rupees.
Step 2: Identify the Formula
The formula to calculate the cost of fencing a rectangular park is:
Cost of Fencing = Perimeter of the Park * Cost per meter
Step 3: Find the Perimeter of the Park
Let's assume that the length of the park is 5x and the breadth is 3x, where x is a common factor.
The area of the park is given as 8640m².
Therefore, we can write the equation:
Length * Breadth = Area
(5x) * (3x) = 8640
15x² = 8640
x² = 8640/15
x² = 576
x = √576
x = 24
So, the length of the park = 5x = 5 * 24 = 120m
And the breadth of the park = 3x = 3 * 24 = 72m
The perimeter of the park = 2 * (Length + Breadth) = 2 * (120 + 72) = 384m
Step 4: Calculate the Cost of Fencing
Cost of Fencing = Perimeter of the Park * Cost per meter
Cost of Fencing = 384 * 35 = 13,440 rupees
Step 5: Answer
The cost of fencing the park at a rate of rupees 35 per meter is 13,440 rupees.
Community Answer
The length and breadth of a rectangular park are in the ratio 5:3. If ...
840m²
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The length and breadth of a rectangular park are in the ratio 5:3. If the area of the park is 8640m², find the cost of fencing it at a rate of rupees 35 per metre?
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The length and breadth of a rectangular park are in the ratio 5:3. If the area of the park is 8640m², find the cost of fencing it at a rate of rupees 35 per metre? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about The length and breadth of a rectangular park are in the ratio 5:3. If the area of the park is 8640m², find the cost of fencing it at a rate of rupees 35 per metre? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The length and breadth of a rectangular park are in the ratio 5:3. If the area of the park is 8640m², find the cost of fencing it at a rate of rupees 35 per metre?.
The length and breadth of a rectangular park are in the ratio 5:3. If the area of the park is 8640m², find the cost of fencing it at a rate of rupees 35 per metre? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about The length and breadth of a rectangular park are in the ratio 5:3. If the area of the park is 8640m², find the cost of fencing it at a rate of rupees 35 per metre? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The length and breadth of a rectangular park are in the ratio 5:3. If the area of the park is 8640m², find the cost of fencing it at a rate of rupees 35 per metre?.
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