54 units²
This is a compound shape. You can split it into x shapes. See Attachment
Rectangle - Red
Area of a Rectangle = L Ă— B
L = 7
B = 6
7 Ă— 6 = 42
42 units²Triangle - Orange
Area of a Triangle = 1/2BH
B = 6
H = 1
1/2 Ă— 6 Ă— 1 = 3
3 units²Triangle - Green
Area of a Triangle = 1/2BH
B = 3
H = 2
1/2 Ă— 3 Ă— 2 = 3
3 units²Triangle - Blue
Area of a Triangle = 1/2BH
B = 2
H = 6
1/2 Ă— 2 Ă— 6 = 6
6 units²42 + 6 + 3 + 3 = 54