To calculate the shaded area in the diagram:

1. Calculate the total area of the rectangle: $\text{Total area} = \text{Length} \times \text{Width} = 8.3 \, \text{m} \times 9 \, \text{m} = 74.7 \, \text{m}^2$

2. Calculate the area of the triangular cut-out:

   • The base of the triangle is $2.6 \, \text{m}$.
   • The height of the triangle is $8.4 \, \text{m}$.
   • The area of a triangle is: $\text{Area} = \frac{1}{2} \times \text{Base} \times \text{Height} = \frac{1}{2} \times 2.6 \times 8.4 = 10.92 \, \text{m}^2$

3. Calculate the shaded area:

   • Subtract the area of the triangular cut-out from the total area: $\text{Shaded area} = \text{Total area} - \text{Triangular cut-out area} = 74.7 - 10.92 = 63.78 \, \text{m}^2$

The shaded area is $63.78 \, \text{m}^2$.

Let me know if you need more details or explanations.

Related Questions:

1. What is the process for finding the perimeter of the shaded area?
2. How do you calculate areas of more complex shapes?
3. What other methods can confirm the triangle's area calculation?
4. How would the result change if the triangle dimensions were different?
5. What are real-world applications of calculating such areas?

Tip:

Always double-check your dimensions and formulas when working with composite shapes to avoid small errors!