Answer : The area of the shaded region is, [tex]24mm^2[/tex]
Step-by-step explanation :
First we have to calculate the area of ΔABC and ΔXYZ.
Area of ΔABC = [tex]\frac{1}{2}\times Base\times Height[/tex]
Area of ΔABC = [tex]\frac{1}{2}\times 5mm\times 12mm[/tex]
Area of ΔABC = [tex]30mm^2[/tex]
and,
Area of ΔXYZ = [tex]\frac{1}{2}\times Base\times Height[/tex]
Area of ΔXYZ = [tex]\frac{1}{2}\times 3mm\times 4mm[/tex]
Area of ΔXYZ = [tex]6mm^2[/tex]
Now we have to calculate the area of the shaded region.
Area of the shaded region = Area of ΔABC - Area of ΔXYZ
Area of the shaded region = [tex]30mm^2-6mm^2[/tex]
Area of the shaded region = [tex]24mm^2[/tex]
Therefore, the area of the shaded region is, [tex]24mm^2[/tex]
