The area of ΔABC is 44 cm². If D is the midpoint of BC and E is the mid point of AB, then the area (in cm²) of ΔBDE is:

11

If D is the midpoint of BC and E is the midpoint of AB, then

DE is parallel to AC

Let BC = 2 unit and BD = 1

As we know,

\(\frac{area\;of\;BDE}{area\;of\;BCA}\) = \( {\frac{BD}{BC} }^{2 } \)

= \(\frac{area\;of\;BDE}{44}\) = \( {\frac{1}{2} }^{2 } \)

Therefore, area of \(\Delta \)BDE = \(\frac{1}{4}\) x 44 = 11 \( { cm}^{2 } \).