Question

What is the area of the polygon given below? Please explain how you got the answer

Answer 1

The total area is 271 square units.

Here is something that I almost never do, but I'm going to
do it this time:

I almost never draw a picture or a diagram to show how I got
my answer. But this one would be so complicated to try and
explain with text, that I marked my process on top of your
picture, and I attached my final picture to this answer.

It'll show you how I split the whole figure up into one square
and two rectangles, then found the area of each piece, and
then added them all together.

Answer 2

The area is the sum of 3 rectangles areas
First 12 * 19 = 228
Second 3 * 3 = 9
Third 2 * 17 = 34

so the area = 228 + 34 + 9 = 271 square units