What is the area of the polygon?

I’m pretty sure it’s 38ft^2

(The area of a quadrilateral is equal to length x width. So the area of the larger part of the polygon would be 32ft^2, the area of the small square is 4ft^2 and I’m assuming the area of the small triangle would be 2ft^2 because it has the same length and width as the small square but since it’s a triangle it’s area would be equal to half the area of the square. 32+4+2=38, so the answer would be 38ft^2.)