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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:

1. Length of field = 240 m
2. Breadth of field = 180 m

The perimeter of the rectangular field is calculated as:
$\text{Perimeter} = 2 \times (\text{Length} + \text{Breadth})$
$\text{Perimeter} = 2 \times (240 + 180) = 2 \times 420 = 840 \, \text{m}$

For 3 rounds of rope:
$\text{Total length of rope} = 3 \times \text{Perimeter} = 3 \times 840 = 2520 \, \text{m}$

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:

1. Length of park = 250 m
2. Breadth of park = 175 m

The perimeter of the rectangular park is:
$\text{Perimeter} = 2 \times (\text{Length} + \text{Breadth})$
$\text{Perimeter} = 2 \times (250 + 175) = 2 \times 425 = 850 \, \text{m}$

The cost of fencing is calculated as:
$\text{Cost} = \text{Perimeter} \times \text{Rate per meter}$
$\text{Cost} = 850 \times 12 = ₹10,200$

Question 3:

Find the distance traveled by Shaina if she takes three rounds of a square park of side 70 m.

Solution:

1. Side of the square park = 70 m

The perimeter of the square park is:
$\text{Perimeter} = 4 \times \text{Side}$
$\text{Perimeter} = 4 \times 70 = 280 \, \text{m}$

For 3 rounds, the total distance is:
$\text{Total distance} = 3 \times \text{Perimeter} = 3 \times 280 = 840 \, \text{m}$

Summary of Solutions:

1. Total length of rope: 2520 m
2. Cost of fencing: ₹10,200
3. Distance traveled by Shaina: 840 m

Let me know if you want detailed explanations for any step!

Related Questions:

1. What is the formula for the perimeter of a rectangle?
2. How does the cost change if the rate per meter increases to ₹15?
3. What is the total length of the rope for 5 rounds around the rectangular field?
4. How is the perimeter of a square related to its side length?
5. 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.