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) + $\dfrac{1}{2}$ · Number of boundary points (points on the polygon's perimeter) - 1

so:

1.Yellow:

Interior points = 3
Boundary points = 8

$A=3+\dfrac{1}{2}\cdot8-1=3+4-1=\boxed{6\text{ units}}$

2. Red:

Interior points = 2
Boundary points = 10

$A=2+\dfrac{1}{2}\cdot10-1=2+5-1=\boxed{6\text{ units}}$