Answer:
The area of the polygon is 624.5 square feet.
Step-by-step explanation:
The total area of the figure ([tex]A[/tex]), in square feet, is the sum of the areas of two triangles and a rectangle, that is:
[tex]A = A_{I}+A_{II}+A_{III}[/tex] (1)
Where:
[tex]A_{I}[/tex] - Area of the big triangle, in square feet.
[tex]A_{II}[/tex] - Area of the small triangle, in square feet.
[tex]A_{III}[/tex] - Area of the rectangle, in square feet.
Then, we expand the formula by using all dimensions presented in the image attached:
[tex]A = \frac{1}{2}\cdot (25\,ft)\cdot (33\,ft-8\,ft) + \frac{1}{2}\cdot (8\,ft)\cdot (43\,ft-35\,ft) + (35\,ft)\cdot (8\,ft)[/tex]
[tex]A = 624.5\,ft^{2}[/tex]
The area of the polygon is 624.5 square feet.
