Answer:
32 squared units
Step-by-step explanation:
The composite given in the figure consist of 3 triangles and 1 square shape.
To calculate the area of the composite shape, let's calculate area of each shape and then add all together.
==>Area of the square (Q): s²
s = 2
Area = 2² = 4 squared units
==>Area of biggest triangle (B): ½*b*h
b = 2+2+6 = 10
h = 4
Area = ½*10*4 = 5*4 = 20 squared units
==>Area of medium triangle (M): ½*b*h
b = 2
h = 6
Area = ½*2*6 = 6 squared units
==>Area of smallest triangle (S): ½*b*h
b = 2
h = 2
Area = ½*2*2 = 4/2 = 2 squared units
==>Area of composite shape = Q+B+M+S = 4+20+6+2 = 32 squared units
