You can break this irregular shape into two rectangles. Then, as there is enough information to determine the side lengths of those rectangles and solve for the area of each rectangle, then you can add the two rectangle areas back together to find the total area of the shape.
See the attached image photo for the clearest guide for one way to do this. (You could also break the figure into two rectangles in at least one other way than the way I have shown.)
The first/top rectangle I created is formed from the 6 yd side of the irregular shape (which you see on the original diagram) and is also 4yd across, which you can determine because the bottom length of the irregular shape is 7 yd (subtract 11 - 7 = to find 4 as the remainder). So the area of that rectangle can be found by multiplying the two lengths (A = base x height), and would be 24.
The second/bottom rectangle I created has a height of 4 yd, which you can determine through subtraction again, because the entire side length of the original shape is 10 yd, and the top part we already allotted to the 1st rectangle is 6. (10 - 6 = 4 yd.) The base length of the second rectangle is 11, as you can see on the original diagram - the entire length of the base of the irregular shape. To find the area of this second rectangle, we multiply the base x height (4 x 11) to get 44.
We can then add the area of the two rectangles together to find the full area of the irregular shape:
24 + 44 = 68 square yards
