Solution:

First, find the area of ABCE.

AE = AB = 6cm

Area of rectangle ABCE (which is actually a square) = length × width

 = 6 cm × 6 cm

 = 36 cm².

Next, find the area of ADE.

ED = CD = CE =

 

 = 9 cm².

The area of ADE is 9 cm².

Then, to find the area of the shaded part, we take the area of ABCE and subtract the area of ADE.

Area of shaded part = Area of ABCE – Area of ADE

 = 36 cm² – 9cm²

 = 27 cm².

The area of shaded part of ABCE is 27 cm².