Question

Find the area of the shaded polygons:

Answer 1

9

Explanation:

Answer 2

`\large\boxed{Area=9}`

Explanation:

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

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

`Area= i + (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+(4)/(2)-1=8+2-1=9`