Find the area of the rectangular park which is`41 2/3`m long and`18 3/5`m broad?

Answer

To find the area of the rectangular park, we will follow these steps:

### Step 1: Convert the mixed numbers to improper fractions.

1. **Length**: The length is given as \(41 \frac{2}{3}\) m.
- To convert this to an improper fraction:
\[ 41 \frac{2}{3} = \frac{(41 \times 3) + 2}{3} = \frac{123 + 2}{3} = \frac{125}{3} \text{ m} \]

2. **Breadth**: The breadth is given as \(18 \frac{3}{5}\) m.
- To convert this to an improper fraction:
\[ 18 \frac{3}{5} = \frac{(18 \times 5) + 3}{5} = \frac{90 + 3}{5} = \frac{93}{5} \text{ m} \]

### Step 2: Calculate the area of the rectangle.

The area \(A\) of a rectangle is given by the formula:
\[ A = \text{Length} \times \text{Breadth} \]
Substituting the values we found:
\[ A = \frac{125}{3} \times \frac{93}{5} \]

### Step 3: Multiply the fractions.

To multiply the fractions, multiply the numerators together and the denominators together:
\[ A = \frac{125 \times 93}{3 \times 5} \]

Calculating the numerator:
\[ 125 \times 93 = 11625 \]

Calculating the denominator:
\[ 3 \times 5 = 15 \]

So we have:
\[ A = \frac{11625}{15} \]

### Step 4: Simplify the fraction.

Now, we need to simplify \(\frac{11625}{15}\):
\[ A = 775 \text{ m}^2 \]

### Final Answer:
The area of the rectangular park is \(775 \text{ m}^2\).

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