ABCE is a rectangle. AE = AB = 6 cm and CD = CE. Find the area of the shaded part of ABCE.
The area of the shaded part of ABCE is cm2.
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.