Question

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. ​

Answer 1

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.

$\frac{4 \times 3}{2} = 6$

Area of rectangle is length x width so the area is

$7 \times 6 = 42$

Subtract 6 from 42.

$42 - 6 = 36$