Answer:
B. 36 [tex]cm^{2}[/tex]
Step-by-step explanation:
The shaded quadrilateral has a shape of a trapezium.
Area of a trapezium = [tex]\frac{1}{2}[/tex](a + b)h
where: a is the side length parallel to the base, b is the base and h is the height.
The height of the figure = 11 - (4 + 1)
= 11 - 5
= 6
The height of the figure is 6 cm.
The length of its base = 11 - (1 + 2)
= 11 - 3
= 8
The length of its base is 8 cm.
The length of the side parallel to base = 11 - (4 + 3)
= 11 - 7
= 4
The parallel side length to base is 4 cm.
Area of quadrilateral = [tex]\frac{1}{2}[/tex](a + b)h
= [tex]\frac{1}{2}[/tex](4 + 8)6
= 12 x 3
= 36
Area of quadrilateral = 36 [tex]cm^{2}[/tex]
