A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in your answer.
5yd 4yd 2yd. 6yd
First, find the area of the right triangle:
Area = 1/2 * base * height
Area = 1/2 * 5yd * 4yd
Area = 10 square yards
Next, find the area of the rectangle that was removed:
Area = length * width
Area = 2yd * 6yd
Area = 12 square yards
Now, subtract the area of the rectangle from the area of the right triangle to find the area of the shaded region:
Area of shaded region = 10 square yards - 12 square yards
Area of shaded region = -2 square yards
The area of the shaded region is -2 square yards.