Math Problem Statement
Solution
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Question 1:
A farmer has a rectangular field of length 240 m and breadth 180 m respectively. He wants to fence it with 3 rounds of rope. What is the total length of rope he must use?
Solution:
- Length of field = 240 m
- Breadth of field = 180 m
The perimeter of the rectangular field is calculated as:
For 3 rounds of rope:
Question 2:
Find the cost of fencing a rectangular park of length 250 m and breadth 175 m at the rate of ₹12 per meter.
Solution:
- Length of park = 250 m
- Breadth of park = 175 m
The perimeter of the rectangular park is:
The cost of fencing is calculated as:
Question 3:
Find the distance traveled by Shaina if she takes three rounds of a square park of side 70 m.
Solution:
- Side of the square park = 70 m
The perimeter of the square park is:
For 3 rounds, the total distance is:
Summary of Solutions:
- Total length of rope: 2520 m
- Cost of fencing: ₹10,200
- Distance traveled by Shaina: 840 m
Let me know if you want detailed explanations for any step!
Related Questions:
- What is the formula for the perimeter of a rectangle?
- How does the cost change if the rate per meter increases to ₹15?
- What is the total length of the rope for 5 rounds around the rectangular field?
- How is the perimeter of a square related to its side length?
- If the side of the square park was increased to 100 m, how far would Shaina travel in 3 rounds?
Tip:
Always double-check your calculations, especially when multiplying or adding large numbers.
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Math Problem Analysis
Mathematical Concepts
Perimeter
Rectangles
Squares
Cost Calculation
Formulas
Perimeter of rectangle = 2 × (Length + Breadth)
Perimeter of square = 4 × Side
Total cost = Perimeter × Rate
Theorems
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Suitable Grade Level
Grades 6-8
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