Answer:
Option B is correct .i.e., 30 square centimeters
Step-by-step explanation:
We have to find area of ACDE.
From given figure ACDE is made up of two triangles ΔBCD & ΔABE
So, Area of ACDE = Area of ΔBCD + Area of ΔABE
Area of traingle = [tex]\frac{1}{2}\times Base\times Height[/tex]
⇒ Area of ACDE = [tex]\frac{1}{2}\times CD\times BF+\frac{1}{2}\times AB\times AE[/tex]
= [tex]\frac{1}{2}\times6\times2+\frac{1}{2}\times4\times12[/tex]
= [tex]6+2\times12[/tex]
= [tex]30\:cm^2[/tex]
Therefore, Option B is correct .i.e., 30 square centimeters
