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. 12ft 3ft 2ft 4ft 3ft

1 answer

To find the area of the shaded region, we first need to find the area of the right triangle and then subtract the area of the rectangle.

Area of right triangle = 1/2 * base * height
Area = 1/2 * 4ft * 3ft
Area = 6 square feet

Now, let's find the area of the rectangle:
Area = length * width
Area = 3ft * 2ft
Area = 6 square feet

Now, we subtract the area of the rectangle from the area of the right triangle to find the area of the shaded region:
Shaded area = 6 square feet - 6 square feet
Shaded area = 0 square feet

Therefore, the area of the shaded region is 0 square feet.
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