Answer: The area of the composite figure is 264 cm square.
Explanation:
In the given figure the are 5 figure are in the composition. 1 square, 3 rectangles and 1 triangle.
The area square is,
[tex]A=side\times side[/tex]
So, area of part (1).
[tex]A_1=10\times 10=100cm^2[/tex]
Base of the triangle is,
Base = 20-3-4-5-2=6 cm
Area of triangle is,
[tex]A=\frac{1}{2} \times base\times height[/tex]
Area of part (2).
[tex]A_2=\frac{1}{2}\times 6\times 4=12cm^2[/tex]
The area rectangle is,
[tex]A=length \times breadth[/tex]
Area of part (3).
[tex]A_3=3\times 4=12cm^2[/tex]
Area of part (4).
[tex]A_4=5\times 4=20cm^2[/tex]
Area of part (5).
[tex]A_4=20\times 6=120cm^2[/tex]
Total area is sum of all area of all parts.
[tex]A=A_1+A_2+A_3+A_4+A_5[/tex]
[tex]A=100+12+12+20+120=264cm^2[/tex]
Therefore the area of the composite figure is 264 cm square.
