132k views
1 vote
Find the area of shape 1 and shape 2

Find the area of shape 1 and shape 2-example-1
Find the area of shape 1 and shape 2-example-1
Find the area of shape 1 and shape 2-example-2
User Nurisezgin
by
5.8k points

1 Answer

5 votes
You can use Pick's theorem, where:

Area = Number of interior points (points inside the polygon) +
(1)/(2) · Number of boundary points (points on the polygon's perimeter) - 1

so:

1.Yellow:

Interior points = 3
Boundary points = 8


A=3+(1)/(2)\cdot8-1=3+4-1=\boxed{6\text{ units}}

2. Red:

Interior points = 2
Boundary points = 10


A=2+(1)/(2)\cdot10-1=2+5-1=\boxed{6\text{ units}}
User Xpepermint
by
6.1k points