i think that the answer is 240 square feet
so, first you divide the shapes in 2d shapes
area of the two triangle = 2 x b x h/2
= 2 x 12 x 5/2
=60 square feet
area of base = 12 x 6 = 72 square feet
area of rectangle = 5 x 6
= 30 square feet
area of 2nd rectangle = 13 x 6
= 78 square feet
60 + 72 + 30 + 78 = 240 square feet