Answer:
722[tex]ft^{2}[/tex]
Step-by-step explanation:
you have to break it up into the individual shapes, being two triangles and two rectangles. the area of the side triangle is [tex]4*12=48ft^{2}[/tex]. then there is the triangle on the left, which the area is [tex](9*40)/2=180[/tex]. then you have one rectangle, and one triangle left. you know the rectangle has to be [tex]19*12=228[/tex] because four has to be subtracted from one side for the rectangle next to it. the final triangle has a base of 19, like the previous rectangle, and a height of 28 from [tex]40-12=28[/tex] because its height doesnt run into the previous rectangle. this means the area is[tex](28*19)/2=266[/tex]. once you add them all, [tex]228+266+180+48=722[/tex]