Answer:
Area shaded = 60 [tex]cm^{2}[/tex].
Step-by-step explanation:
From the given diagram,
Area shaded = Area of the trapezoid EBCD
Given that: AE = [tex]\frac{1}{3}[/tex]AB
= [tex]\frac{1}{3}[/tex] x 12 (∵ AB = CD = 12 cm)
= 4 cm
AE = 4 cm,
Thus,
EB = (12 - 4) cm
= 8 cm
EB = 8 cm
Area shaded = [tex]\frac{1}{2}[/tex] (EB + CD) x AD
= [tex]\frac{1}{2}[/tex] (8 + 12) x 6
= (20) x 3
= 60
Area shaded = 60 [tex]cm^{2}[/tex]
