Answer:
72 square yards
Explanation:
There are numerous ways to decompose the area into parts for which you have a formula: rectangle, square, trapezoid.
An obvious one is the separately figure the area of the 3×6 tab at the right and the area of the 9×6 rectangle to its left. Then the area is ...
... 54 yd² +18 yd² = 72 yd²
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You can cut off the tab (EHCD in the attachment) and add it to the top to make a 12×6 rectangle with an area of 72 yd².
Or you can cut half the bottom "tab" off (AIJF in the attachment) and fill in below the tab to the right, making a 6×12 rectangle with an area of 72 yd².
The whole top part (GBCD in the figure) can be considered as a 3×12 rectangle with an area of 36 yd². That area will be added to the 6×6 square below which also has an area of 36 yd². Those two figures total 72 yd² in area.
You can treat the figure as having a 6×6 square cut out from the bottom right corner of a 9×12 rectangle. Then the area is figured as 108 yd² - 36 yd² = 72 yd².
Drawing a line (BE in the attachment) between upper left outside corner and the inside corner divides the figure into two trapezoids. The bottom one has bases 9 and 6 and height 6; the other has bases 6 and 12 and height 3. The areas of those figures are 45 yd² and 27 yd², for a total of 72 yd².
