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

36

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.

`(4 * 3)/(2) = 6`

Area of rectangle is length x width so the area is

`7 * 6 = 42`

Subtract 6 from 42.

`42 - 6 = 36`