Respuesta :

WojtekR
You can use Pick's theorem, where:

Area = Number of interior points (points inside the polygon) + [tex]\dfrac{1}{2}[/tex] · Number of boundary points (points on the polygon's perimeter) - 1

so:

1.Yellow:

Interior points = 3
Boundary points = 8

[tex]A=3+\dfrac{1}{2}\cdot8-1=3+4-1=\boxed{6\text{ units}}[/tex]

2. Red:

Interior points = 2
Boundary points = 10

[tex]A=2+\dfrac{1}{2}\cdot10-1=2+5-1=\boxed{6\text{ units}}[/tex]

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