Explanation:
there are 3 shapes that create the total area :
a large right-angled triangle to the right. its baseline is 16 yd. the left side is a bit complicated, we get to it.
a small middle rectangle with length 6 yd. it's width is 3 yd.
is area is 6×3 = 18 yd²
a large rectangle at the bottom left with length 11 yd and width 6yd.
its area is 11×6 = 66 yd²
now, how long is the left side of the triangle ? we need it as the height of the triangle to get the area
baseline × height / 2
we see that a part of the left side is 8 yd.
then the width of the middle rectangle is also a part of that left side : 3 yd.
and then we notice that the triangle goes a little bit below the top length side of the large rectangle. how much ? well the actual width of the large rectangle is 6 yd, but the side under the triangle says only 5 yd. so, the missing piece is 6-5 = 1 yd.
so, the full left side is
8 + 3 + 1 = 12 yd
and the area of the triangle is
16×12 / 2 = 16×6 = 96 yd²
so, the total area of the figure is
18 + 66 + 96 = 180 yd²