Answer:
[tex]\large\boxed{Area=9}[/tex]
Step-by-step explanation:
[tex]\text{Use Pick's theorem.}[/tex]
[tex]\text{Pick’s Theorem then states that:}[/tex]
[tex]Area= i + \frac{b}{2}-1[/tex]
[tex]i\ \text{stands for the number of points in the interior of the shape,}\\b\ \text{stands for the number of points on the boundary of the shape.}[/tex]
[tex]\text{We have}\\\\i=8\ \text{and}\ b=4.\\\\\text{Substitute:}\\\\Area=8+\dfrac{4}{2}-1=8+2-1=9[/tex]
