Question

Find the area of the shaded polygons:

Answer 1

Answer:

$\large\boxed{Area=9}$

Step-by-step explanation:

$\text{Use Pick's theorem.}$

$\text{Pick’s Theorem then states that:}$

$Area= i + \frac{b}{2}-1$

$i\ \text{stands for the number of points in the interior of the shape,}\\b\ \text{stands for the number of points on the boundary of the shape.}$

$\text{We have}\\\\i=8\ \text{and}\ b=4.\\\\\text{Substitute:}\\\\Area=8+\dfrac{4}{2}-1=8+2-1=9$

Answer 2

Answer:

9

Step-by-step explanation: