Sure, let's break this down step-by-step.
### Step 1: Calculate the Perimeter of the Park
First, we need to determine the perimeter of the rectangular park. The formula for the perimeter [tex]\( P \)[/tex] of a rectangle is:
[tex]\[ P = 2 \times ( \text{length} + \text{breadth} ) \][/tex]
Given:
- Length ([tex]\( l \)[/tex]) = 15 meters
- Breadth ([tex]\( b \)[/tex]) = 10 meters
Plug in the values:
[tex]\[ P = 2 \times ( 15 + 10 ) = 2 \times 25 = 50 \text{ meters} \][/tex]
So, the perimeter of the park is 50 meters.
### Step 2: Calculate the Total Length of Wire Required for 2 Rounds of Fencing
We need to fence the park two times around, so we multiply the perimeter by 2.
[tex]\[ \text{Total Length of Wire} = 2 \times \text{Perimeter} \][/tex]
From step 1, we know the perimeter is 50 meters:
[tex]\[ \text{Total Length of Wire} = 2 \times 50 = 100 \text{ meters} \][/tex]
So, the total length of the wire required for 2 rounds of fencing is 100 meters.
### Step 3: Calculate the Cost of Fencing
Next, we calculate the cost of fencing. The cost is given at the rate of Rs 7 per meter.
[tex]\[ \text{Total Cost} = \text{Total Length of Wire} \times \text{Fencing Rate} \][/tex]
Given:
- Total Length of Wire = 100 meters
- Fencing Rate = Rs 7 per meter
[tex]\[ \text{Total Cost} = 100 \times 7 = 700 \text{ Rs} \][/tex]
So, the cost of fencing the park is Rs 700.
### Summary
- The length of the wire required for 2 rounds of fencing the park is 100 meters.
- The cost of fencing the park at the rate of Rs 7 per meter is Rs 700.
