Answer: 39 in^2
Step-by-step explanation: To find the area of this polygon, we can break it down into two triangles and one rectangle. The following formulas are to solve for the area of each polygon:
Area of a Triangle: A = b x h / 2
Area of a Rectangle: A = l x w
We can plug in the values by what we are given. The triangle to the top has a base of 6 in and a height of 5 in. We can multiply these to get 30 in but cut it in half to get 15 in. The second triangle has a base of 3 in and a height of 4 in, so when we multiply, we get 12 in / 2 to get 6 in. The rectangle's length is 6 in and the width is 3 in. So, 6 x 3 is 18. Add all these values together, and you get 39 in^2.
Let me know if this is right! :)