Given:
Given that each vertex of the polygon forms a right angle.
The measurements of the sides of the polygon were given.
We need to determine the area of the polygon.
Let us divide the polygon into 3 rectangles.
Area of the rectangle can be determined using the formula, [tex]A=length \times width[/tex]
Area of rectangle 1:
The length of rectangle 1 is 17 inches.
The width of rectangle 1 is 8.5 inches.
The area of rectangle 1 is given by
[tex]17 \times 8.5 =144.5 \ in^2[/tex]
Area of rectangle 2:
The length of rectangle 2 is 16.5 inches.
The width of rectangle 2 is (17 - 9) = 8 inches.
The area of rectangle 2 is given by
[tex]16.5 \times 8 =132 \ in^2[/tex]
Area of rectangle 3:
The length of rectangle 3 is 13 inches.
The width of rectangle 3 is 11 inches.
The area of rectangle 3 is given by
[tex]13 \times 11=143 \ in^2[/tex]
Area of the polygon:
The area of the polygon can be determined by adding the areas of the three rectangles.
Thus, we have;
[tex]Area=144.5+132+143[/tex]
[tex]Area=419.5 \ in^2[/tex]
Thus, the area of the figure is 419.5 square inches.
Hence, Option B is the correct answer.
