a right triangle is removed from a rectangle to create the shaded region shown below. find the area of the shaded region. be sure to include the correct unit in your answer.
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Answer:
36
Step-by-step explanation:
Objective: Find missing dimensions of the right triangle using the then subtract that area of the triangle from the rectangle's area.
Using the definition of a rectangle, the left vertical side measure is 7 and right vertical side is 6. So the missing legs of the triangle is 4 and 3.
Apply triangle formula, base x height divided by 2.
[tex] \frac{4 \times 3}{2} = 6[/tex]
Area of rectangle is length x width so the area is
[tex]7 \times 6 = 42[/tex]
Subtract 6 from 42.
[tex]42 - 6 = 36[/tex]