To find the area of a rectangular courtyard, you can use the formula:
\[ \text{Area} = \text{Length} \times \text{Width} \]
First, you need to ensure that both dimensions are in the same unit. Here, the length is given as 57 meters and 50 centimeters.
Since 1 meter = 100 centimeters, we can convert the length to meters:
\[ 57 \text{ m} + 50 \text{ cm} = 57 \text{ m} + 0.5 \text{ m} = 57.5 \text{ m} \]
Now, the width is given as 22 meters, which is already in meters.
Now you can calculate the area:
\[ \text{Area} = 57.5 \text{ m} \times 22 \text{ m} \]
Calculating that:
\[ \text{Area} = 1265 \text{ m}^2 \]
Thus, the area of the rectangular courtyard is \( 1265 \text{ m}^2 \).