What is the area of the polygon given below ?

186.

cut the polygon into two rectangle by extending the middle horizntal line. Add up segments to give you the totals. the lower rectangle will be 7+11+6 wide and 5 tall 5x24=120

the upper is 11x6=66
add the two to get 186.

You could also answer the question by extending down the middle two vertical line that will cretqe three rectangles.

another way to do this would be two extend the outermost verticals along with the top horizantal. figure out the area of the entire larger rectangle and the subtract the two small rectanles on the top corners

break it into smaller rectangles and find the area of each, then add them up to get the total