To find the area of the shaded region, we will follow these steps:

1. Find the area of the right triangle:

   • The right triangle has a base and a height, both measuring 4 yards (yd).
   • The area of a triangle is given by the formula: $A_{\text{triangle}} = \frac{1}{2} \times \text{base} \times \text{height}$ $A_{\text{triangle}} = \frac{1}{2} \times 4 \, \text{yd} \times 4 \, \text{yd} = 8 \, \text{yd}^2$

2. Find the area of the rectangle:

   • The rectangle has a length of 4 yards and a width of 2 yards.
   • The area of the rectangle is given by: $A_{\text{rectangle}} = \text{length} \times \text{width}$ $A_{\text{rectangle}} = 4 \, \text{yd} \times 2 \, \text{yd} = 8 \, \text{yd}^2$

3. Subtract the area of the rectangle from the area of the triangle to find the area of the shaded region: $A_{\text{shaded}} = A_{\text{triangle}} - A_{\text{rectangle}} = 8 \, \text{yd}^2 - 8 \, \text{yd}^2 = 0 \, \text{yd}^2$

Thus, the area of the shaded region is 0 square yards.

Would you like more details or have any questions about this solution? Here are some related questions to expand your understanding:

1. How would the area change if the rectangle had different dimensions?
2. What is the formula for finding the area of a right triangle in terms of its base and height?
3. Can you find the perimeter of the shaded region?
4. How would the calculation change if the triangle was not a right triangle?
5. Can the area of a region ever be negative?

Tip: Always check that all parts of the diagram are properly measured and labeled before solving for areas.