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

56 m^2.

Step-by-step explanation:

Shaded area area of rectangle - area of triangle

= 8 * 10 - 1/2 * 6 * 8

= 80 - 24

= 56 m^2.

Answer 2

Answer:
`\large \textbf{56} \ \textbf{m}^\textbf{2}`

Step-by-step explanation:

Ignoring the triangle for now, the rectangle has an area of 10*8 = 80 square meters.

The right triangle has an area of base*height/2 = 6*8/2 = 48/2 = 24 square meters.

Therefore, the blue area is

rectangle - triangle = 80 - 24 = 56 square meters

We can abbreviate "square meters" into
`\text{m}^2`