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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.

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 y class=

Respuesta :

Answer:  [tex]\large \textbf{56} \ \textbf{m}^\textbf{2}[/tex]

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 [tex]\text{m}^2[/tex]

Answer:

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.

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