S = 59 ft²
1) Let's find out the area of that figure by tracing auxiliary lines to decompose that into smaller rectangles:
2) So we can calculate the rectangle to the left
S = w * l Rectangle Area formula
S = 7 x 2
S = 14 ft²
And the larger one:
S= 9 x 5
S = 45 ft²
3) Now let's add them up to find out the area of the polygon:
S= S_1 +S_2
S = 14 +45
S = 59 ft² And that's the answer