The figure below shows a shaded region and a nonshaded region. Angles in the figure that appear to be right angles are right angles. A picture of a rectangle is shown. The bottom of the rectangle is labeled 16 ft. The right side of the rectangle is labeled 8 ft. At the bottom left side of the rectangle there is a label that reads 2 ft. Inside the rectangle is a shaded region. The bottom of the region is labeled 8 ft and this side is perpendicular to the left side of the rectangle. The right side of the shaded region has a perpendicular line segment extending upward that is labeled 2 ft. At the top of this line segment is another line segment perpendicular to the right that reads 2 ft. At the end of this line segment is a perpendicular line segment extending upward that reads 1 ft. There is a line segment joining the end of this line segment with the top left corner of the rectangle. What is the area, in square feet, of the shaded region?

As per the question, the figure for the angle of the shaded and the non-region of the fugue appears to be a right-angled triangle. The image of the triangle is given and where the bottom o the rectangle is labeled at 16 ft. The right side of the rectangle is labeled as 8.

Thus the answer for parts is given as below.

The right-angle side of the rectangle is labeled as 8 feet. The bottom side of the rectangle is labelled a 2 feet.

Inside if the rectangle the shaded part is labeled as 8 ft. The side of perpendicular to the left side of the rectangle.

As per the part, one of the area of A1 is A1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2. The area of the part 2 is A2=length*width=(8+2)*1=10 ft2.

The area of the part 3 of A3=length*width=8*2=16 ft2. The total shaded region is A1+A2+A3=41 ft2. Where the total area of the react angle is A=16*8=128 ft2, and the area of the non-shaded region is 128-41=87 ft2.

Learn more about the figure below.

brainly.com/question/389889.