In the figure, we are given with the shaded area and we are to determine the area of the shaded figure. The equation that would allow us to answer this is,
Area = Length x width
As it can be seen in the figure, the length of the shaded area is 30'. From the front view of the figure, it can be deduced that the width is the hypotenuse of the right triangle. Through the Pythagorean theorem,
x² + x² = w²
Substituting the known values of x,
(20')² + (20')² = w²
The value of w is equal to 20√2 or 28.28 units
From the equation above,
Area = (30')(28.28')
Area = 848.53 ft²
Thus, the answer to this item is letter C. 850.