Compound shapes

There are two different methods for finding the area of a compound shape:

Area of a compound shape diagram

Method 1

Divide the shape into squares and rectangles, find their individual areas and then add them together.

The length of the larger rectangle is 4 + 4 + 4 = 12~cm

Area of a compound shape diagram

Area = 16 + 16 + 48 = {80~cm}^{2}

Method 2

Imagine the shape as a large rectangle with a section cut out.

The length of the outer rectangle is 4 + 4 + 4 = 12~cm

Find the area of the large rectangle ( 12 \times 8) and then subtract the part that has been cut out ( 4 \times 4)

Area of a compound shape diagram

Area = (12 \times 8) - (4 \times 4) = 96 - 16 = \text{80 cm}^2