How do you find the area of a compound shape made of rectangles and a triangle?

To find the area of the compound figure, we can divide it into simpler shapes: three rectangles and one triangle.

Let's break down the figure:

1. Bottom-left rectangle (R1):

   • This is the rectangle with a width of 4 cm and a height of 8 cm.
   • Area R1 = $\text{width} \times \text{height} = 4 \text{ cm} \times 8 \text{ cm} = 32 \text{ cm}^2$.

2. Middle-left rectangle (R2):

   • This rectangle is directly above R1. It has a width of 2 cm (the horizontal segment) and a height of 4 cm