Given:
The sides of rectangle isl
[tex]\begin{gathered} l=10m \\ w=7m \end{gathered}[/tex]
The sides of the triangle is
[tex]\begin{gathered} a=8m \\ b=6m \end{gathered}[/tex]
Required:
To find the area of the shaded region.
Explanation:
The area of the triangle is
[tex]\begin{gathered} A=\frac{ab}{2} \\ \\ =\frac{8\times6}{2} \\ \\ =24m^2 \end{gathered}[/tex]
Now the area of the rectangle is
[tex]\begin{gathered} A=lw \\ \\ =10\times7 \\ \\ =70m^2 \end{gathered}[/tex]
The area of the shaded region is = Area of the rectangle - Area of the triangle.
[tex]\begin{gathered} =70-24 \\ =46m^2 \end{gathered}[/tex]
Final Answer:
The area of the shaded region is
[tex]46m^2[/tex]
