In the diagram if AE = AB, find the area shaded.

Area shaded = 60 .

Step-by-step explanation:

From the given diagram,

Area shaded = Area of the trapezoid EBCD

Given that: AE = AB

                        =   x 12    (∵ AB = CD = 12 cm)

                        = 4 cm

                  AE = 4 cm,

Thus,

EB = (12 - 4) cm

    = 8 cm

EB = 8 cm

Area shaded = (EB + CD) x AD

                     =   (8 + 12) x 6

                     = (20) x 3

                     = 60

Area shaded = 60