Answer:
Total area of the figure is 1259 units² .
Step-by-step explanation:
Formula
\(Area\ of\ triangle = \frac{1}{2}\times Base\times Height\)
Area of a rectangle = Length × Breadth
As given
In triangle
Base = 9 unit
Height = 34 unit
In rectangle
Length = 28 unit
Breadth = 34 unit
In another triangle
Base = 11 unit
Height = 28 unit
Thus
Total area = Area of a rectangle + Area of first triangle + Area of second triangle .
\(Total\ area = 28\times 34 + \frac{1}{2}\times 9\times 34 +\frac{1}{2}\times 11\times 28\)
\(Total\ area = 952 + \frac{306}{2} + \frac{308}{2}\)
Total area = 952 + 153 + 154
Total area = 1259 units²
Therefore the total area of the figure is 1259 units² .
