Answer:
660 in²
Explanation:
The area of this figure looks like it is best computed by subtracting the areas of the empty corners from the area of the "bounding box."
The overall dimensions of the figure are ...
horizontal: 31 in + 10 in = 41 in
vertical: 13 in + 7 in = 20 in
Then the area of the bounding box is ...
A = LW = (41 in)(20 in) = 820 in²
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The area of the upper left empty space is ...
A = (6 in)(5 in) = 30 in²
The area of the lower right empty space is ...
A = (10 in)(13 in) = 130 in²
Then the area of the figure is ...
total shaded area = (820 -30 -130) in² = 660 in²
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Additional comment
The formula for the area of a rectangle is ...
A = LW . . . . . . where L is the length, and W is the width