What is the area of the polygon below ?

It's best to think of oddly shaped polygons as different simple shapes within itself. You can divide them into two rectangles, solve for their areas separately, then add them together. (Halves slip horizontally)

6*11 would be the top half, which equals 66 square units

It is not given the amount of units long the longest side is, but you can figure it out by adding the sides given above. (7, 11, and 6)

5*24 would be the bottom half; 120 square units

Add both areas together to get the overall area of the polygon given

66+120=186