Answer:
32 square units
Step-by-step explanation:
You can split this shape into four different shapes:
2 unit by 2 unit triangle
2 unit by 2 unit square
2 unit by 6 unit triangle
To find the length of the big triangle, add the lengths of the small triangle,the square,and the bigger leg of the other triangle:
2 + 2 + 6 = 10
10 unit by 4 unit triangle
Then solve all these areas:
( 2 x 2 ) / 2 = 4 / 2 = 2
2 x 2 = 4
( 2 x 6 ) / 2 = 12 / 2 = 6
( 10 x 4 ) / 2 = 40 / 2 = 20
Then add all these areas together to get the total area of the composite shape:
2 + 4 + 6 + 20 = 32
