Shaded part ABCD can be visualised as \( \Large \triangle ABD \) + \( \Large \triangle BCD \)

{where BD is common base and AB and CE are respective heights}

so, area can be calculated by finding the area of two triangles and adding them.

Area of shaded region

= Area of \( \Large \triangle ABD \) + Area of \( \Large \triangle BCD \)

=\( \Large \frac{1}{2}AB\times BD+\frac{1}{2}CE\times BD \)

= \( \Large \frac{1}{2}\times 3\times 4+\frac{1}{2}\times 2\times 4 \)=6+4

= 10 sq cm