Question

AN O GEOMETRY Area involving rectangles and triangles 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. Explanation mm Check 10m 7m 8m 6m 0 8 08 E X m² S m³ 1/5 ?

Answer 1

Given:

The sides of rectangle isl

`\begin{gathered} l=10m \\ w=7m \end{gathered}`

The sides of the triangle is

`\begin{gathered} a=8m \\ b=6m \end{gathered}`

Required:

To find the area of the shaded region.

Step-by-step explanation:

The area of the triangle is

`\begin{gathered} A=(ab)/(2) \\ \\ =(8*6)/(2) \\ \\ =24m^2 \end{gathered}`

Now the area of the rectangle is

`\begin{gathered} A=lw \\ \\ =10*7 \\ \\ =70m^2 \end{gathered}`

The area of the shaded region is = Area of the rectangle - Area of the triangle.

`\begin{gathered} =70-24 \\ =46m^2 \end{gathered}`

Final Answer:

The area of the shaded region is

`46m^2`