Math Problem Statement
Solution
The image contains three mathematical problems related to perimeters and distances. Here's a detailed explanation for each:
Q4:
Problem: A farmer has a rectangular field of length 240 m and breadth 180 m. He wants to fence it with 3 rounds of rope. What is the total length of rope he must buy?
Solution:
- Length of field:
- Breadth of field:
- Perimeter of field:
- For 3 rounds:
Answer:
Q5:
Problem: 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:
- Breadth of park:
- Perimeter of park:
- Cost of fencing:
Answer: ₹10200
Q6:
Problem: Find the distance traveled by Shaim if she takes three rounds of a square park of side 70 m.
Solution:
- Side of square park:
- Perimeter of square park:
- Distance for 3 rounds:
Answer:
Would you like further clarifications on these problems? Here are some related questions:
- How is the perimeter formula for a rectangle derived?
- Why is the total rope required multiplied by 3 in Q4?
- What is the difference between area and perimeter?
- How would the cost change in Q5 if the rate per meter increased to ₹15?
- What would the total distance be in Q6 if Shaim took 5 rounds?
Tip: Always verify units and double-check calculations for accuracy.
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Math Problem Analysis
Mathematical Concepts
Perimeter of a rectangle
Cost calculation based on perimeter
Perimeter of a square
Distance calculation for multiple rounds
Formulas
Perimeter of a rectangle = 2 × (Length + Breadth)
Cost = Perimeter × Rate per meter
Perimeter of a square = 4 × Side
Total distance = Number of rounds × Perimeter
Theorems
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Suitable Grade Level
Grades 6-8
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