The top and bottom are each triangle with base 6 in and height 3 in. So, 6 * 3 / 2 is 9 in^2 for each the top and bottom.
There are 2 rectangles with sides 5 in and 12 in, and 1 rectangle with sides 6 in and 12 in. The areas of the first rectangles are 60 in^2, and the second rectangle is 72 in^2.
Add up the 5 shapes, and you'll have:
9 + 9 + 60 + 60 + 72 = 210 in^2