To find the area of the given L-shaped figure, we can break it down into two rectangles, calculate the area of each rectangle, and then sum those areas.

Step-by-Step Solution:

1. Identify the Dimensions:

   • The L-shape can be split into two rectangles.
   • The first (upper) rectangle has dimensions $23 \text{ yards} \times 15 \text{ yards}$.
   • The second (lower) rectangle has dimensions $11 \text{ yards} \times (30 \text{ yards} - 15 \text{ yards}) = 11 \text{ yards} \times 15 \text{ yards}$.

2. Calculate the Areas:

   • Area of the first (upper) rectangle: $A_1 = 23 \times 15 = 345 \text{ square yards}$
   • Area of the second (lower) rectangle: $A_2 = 11 \times 15 = 165 \text{ square yards}$

3. Sum the Areas: $\text{Total Area} = A_1 + A_2 = 345 + 165 = 510 \text{ square yards}$

Thus, the area of the L-shaped figure is 510 square yards.

Would you like more details, or do you have any other questions?

Related Questions:

1. How do you find the perimeter of an L-shaped figure?
2. What is the formula for the area of a rectangle?
3. How can you calculate the area of more complex polygons by decomposing them into simpler shapes?
4. What are some other methods for finding the area of irregular shapes?
5. How do you convert the area from square yards to square feet?
6. Can the area calculation be simplified if the dimensions were given in different units (e.g., feet and inches)?
7. How would the calculation change if the shape was rotated or mirrored?
8. What are practical applications of finding areas of irregular shapes in real life?

Tip: When working with composite shapes, breaking them down into smaller, familiar shapes (like rectangles) often makes calculations easier.