Firstly, you have to find the area of the whole shape. After that, you subtract that from the area of the individual triangle to get your answer.
The whole shape is a rectangle, with a length of 6 and a width of 7.
To find the area, multiply 6 by 7=42yd^2
The area of the entire shape is 42yd^2
Now, the vertical 4yd side plus the height of the dotted triangle will equal 6yd.
So the height of the dotted triangle is 6-4=2yd.
The horizontal 4yd side plus the base of the dotted triangle will equal 7yd.
So the base of the dotted triangle is 7-4=3yd.
Formula for area of triangle: 1/2 x base x height
1/2 x 4 x 3= 6yd^2
The area of the dotted triangle is 6yd^2
Now subtract the area of the whole shape by the area of the dotted triangle to get the shaded region.
42-6= 36yd^2
Area of shaded region: 36yd^2 (i think)
(so sorry if i’m wrong!!!)