Answer:
[tex] 30\: m^2 [/tex]
Step-by-step explanation:
For triangle:
Base = (4 + 3 +1) m = 8 m
Height = 9 m
For rectangle:
Length = 3 m
width = 2 m
Area of shaded region = Area of triangle - Area of rectangle
[tex]= \frac{1}{2}\times base\times height-length \times width \\\\= \frac{1}{2} \times (4 + 3 + 1) \times 9 - 3 \times 2 \\ \\ = \frac{1}{2} \times 8 \times 9 - 6 \\ \\ = 4 \times 9 - 6 \\ = 36 - 6 \\ = 30 \: {m}^{2} [/tex]
