Question

Find the area of shape 1 and shape 2

Answer 1

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}}`