Find the area of the polygon. All angles in the figure are right triangles.

Answer:
The area is 207 square feet
Step-by-step explanation:
*The area of the rectangle whose dimensions are 21 and 15 is 315 square feet
*The area of the rectangle whose dimensions are 12 and 9 is 108 square feet
*By subtracting the small area from the big area you will get the area of the polygon
*The area of the polygon = 315 - 108 = 207 square feet
The area of the given polygon by splitting the polygon into two rectangles is 207 square ft.
Let us split the given polygons into two parts, first part be a rectangle of width 15 ft and length 9 ft while the second part is a rectangle of length 12 ft and width 6 ft. So the total area of the polygon will be the sum of the area of both parts.
The area of a rectangle is the product of length and width.
Area of first part = 15*9 = 135 square ft.
Area of second part = 12*6 = 72 square ft.
Total area = 135+72 = 207 square ft.
Therefore, the area of the given polygon is 207 square ft.
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