The area of a rectangular park is 1560 `m^(2)` and its breadth is 24 m Find the length and perimeter of the park . Also , find the cost of fencing it at Rs. 22.50 per metre.

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Find the Length of the Park
We know that the area of a rectangle is given by the formula:
\[ \text{Area} = \text{Length} \times \text{Breadth} \]
Given:
- Area = 1560 m²
- Breadth = 24 m

We can rearrange the formula to find the length:
\[ \text{Length} = \frac{\text{Area}}{\text{Breadth}} = \frac{1560}{24} \]

Now, we will calculate:
\[ \text{Length} = \frac{1560}{24} = 65 \text{ m} \]

### Step 2: Find the Perimeter of the Park
The perimeter of a rectangle is calculated using the formula:
\[ \text{Perimeter} = 2 \times (\text{Length} + \text{Breadth}) \]

Substituting the values we found:
\[ \text{Perimeter} = 2 \times (65 + 24) = 2 \times 89 \]

Now, we will calculate:
\[ \text{Perimeter} = 178 \text{ m} \]

### Step 3: Find the Cost of Fencing
The cost of fencing is calculated by multiplying the perimeter by the cost per meter:
\[ \text{Cost of Fencing} = \text{Perimeter} \times \text{Cost per meter} \]

Given:
- Cost per meter = Rs. 22.50
- Perimeter = 178 m

Now, we will calculate:
\[ \text{Cost of Fencing} = 178 \times 22.50 \]

Calculating this gives:
\[ \text{Cost of Fencing} = 4005 \text{ Rs} \]

### Summary of Results
- Length of the park = 65 m
- Perimeter of the park = 178 m
- Cost of fencing = Rs. 4005

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