Answer:
The correct option is 4.
Step-by-step explanation:
It the given composite figure we have 3 triangles and 1 rectangle.
The area of a triangle is
[tex]A=\frac{1}{2}\times base\times height[/tex]
The area of first triangle is
[tex]A_1=\frac{1}{2}\times 4\times 3=6[/tex]
The area of second triangle is
[tex]A_2=\frac{1}{2}\times 4\times 3=6[/tex]
The area of third triangle is
[tex]A_3=\frac{1}{2}\times 8\times 2=8[/tex]
The area of a rectangle is
[tex]A=length \times width[/tex]
[tex]A_4=8 \times 3[/tex]
[tex]A_4=24[/tex]
The area of composite figure is
[tex]A=A_1+A_2+A_3+A_4[/tex]
[tex]A=6+6+8+24=44[/tex]
The area of composite figure is 44 units². Therefore the correct option is 4.
