The area of a triangle is computed as follows:
[tex]A=\text{base}\cdot\text{height}\cdot\frac{1}{2}[/tex]
Substituting with base = 28 ft, height = 10.2 ft, we get:
[tex]A=28\cdot10.2\cdot\frac{1}{2}=142.8ft^2[/tex]
The area of a rectangle is computed as follows:
[tex]A=\text{base}\cdot\text{height}[/tex]
The rectangle of the graph has a base of 29.8 ft and a height of 23 ft. Its area is:
[tex]A=29.8\cdot23=685.4ft^2[/tex]
Therefore, the area of the shaded region is:
[tex]\text{area of the rectangle - area of the triangle = 685.4-142.8 = }542.6\text{ sq. ft}[/tex]
