What is the area of the composite figure?

Answer:
The area of the composite figure is [tex]A_{total} = 264(cm)^{2}[/tex]
Step-by-step explanation:
To find the area of this composite figure you need to follow this steps:
1.1 The first figure is a square with side 10 cm. So the area is [tex]A=(10 cm)^{2}=100(cm)^{2}[/tex]
1.2 The second figure is a triangle with a base 6 cm and a height 4 cm. So the area is [tex]A=\frac{b*h}{2}=\frac{1*6*4}{2} =12(cm)^{2}[/tex]
1.3 The third figure is a rectangle with length 8 cm and width 4 cm. So the area is [tex]A = l*w=8cm*4cm=32(cm)^{2}[/tex]
1.4 The fourth figure is a rectangle with length 20 cm and width 6 cm. So the area is [tex]A = l*w=20cm*6cm=120(cm)^{2}[/tex]
2. Then add the areas together.
[tex]A_{total} = A_{square} +A_{triangle}+A_{rectangle} +A_{rectangle}[/tex]
[tex]A_{total} = 100(cm)^{2}+12(cm)^{2}+32(cm)^{2} +120(cm)^{2}[/tex]
[tex]A_{total} = 264(cm)^{2}[/tex]
In the following image shows how we can separate the figure into simpler shapes.