Answer:
[tex]A=40\text{ ft}^2[/tex]
Step-by-step explanation:
This trapezoid is composed of:
- 1 rectangle
- 2 identical triangles
Using this knowledge of its composition, we can construct an equation to model its total area using the rectangle and triangle area formulas:
[tex]A = A_\square + 2(A_\triangle)[/tex]
[tex]A = (l\cdot w) + 2(\frac{1}{2} \cdot b \cdot h)[/tex]
↓ executing the multiplication ... [tex]2(\frac{1}{2}) = 1[/tex]
[tex]A = (l\cdot w) + (b \cdot h)[/tex]
Next, we can plug in the given dimensions:
[tex]A=(8\cdot 4) + (2 \cdot 4)[/tex]
[tex]A=32 + 8[/tex]
[tex]\boxed{A=40\text{ ft}^2}[/tex]
