Answer:
The answer is option 3.
Step-by-step explanation:
First we have to find the area of both rectangle and triangle :
Rectangle,
[tex]area = base \times height[/tex]
Let base = 9,
Let height = 3,
[tex]area = 9 \times 3 \\ area = 27 \: {m}^{2} [/tex]
Triangle,
[tex]area = \frac{1}{2} \times base \times height[/tex]
Let base = 3,
Let height = 3,
[tex]area = \frac{1}{2} \times 3 \times 3 \\ area = \frac{1}{2} \times 9 \\ area = \frac{9}{2} \\ area = 4.5 \: {m}^{2} [/tex]
Lastly, in order to find the shaded region you have to substract the area of triangle from the area of rectangle :
[tex]area = 27 - 4.5 \\ area = 22.5 \: {m}^{2} [/tex]
