Answer:
The area is 35 square units.
Step-by-step explanation:
The entire figure is formed by four triangles and a rectangle, whose sum represents the total area ([tex]A_{T}[/tex]), in square units, represented by the following formula:
[tex]A_{T} = A_{1} + A_{2} + A_{3} + A_{4} + A_{5}[/tex] (1)
Where:
[tex]A_{1}[/tex], [tex]A_{2}[/tex], [tex]A_{3}[/tex], [tex]A_{4}[/tex] - Areas of the four triangles.
[tex]A_{5}[/tex] - Area of the rectangle.
By using the area formulas of a triangle and rectangle we expand the equation described above:
[tex]A_{T} = \frac{1}{2}\cdot (3)\cdot (6) + \frac{1}{2}\cdot (3)\cdot (2) + \frac{1}{2}\cdot (2)\cdot (2) + \frac{1}{2}\cdot (3)\cdot (6) + (2)\cdot (6)[/tex]
[tex]A_{T} = 35\,u^{2}[/tex]
The area is 35 square units.
