Question

In the given figure, BD||AE and BC||DE. If area $\Delta ABD=25c{m}^2,$ then area $\Delta CDE$ =___ $c{m}^2.$

• A. 25
• B. 50
• C. 12.5
• D. 40

Answer 1

The correct option is A 25

(i)BD||AE (given)

(ii)area $\Delta ABD$ =area $\Delta EDB=25c{m}^2$

$({\Delta }^{\prime }s$ in the same base and between the same ||'s)

(iii)BC||DE (given)

(iv)area $\Delta EDB$ =area $\Delta CDE=25c{m}^2$

$({\Delta }^{\prime }s$ in the same base and between the same ||'s)

$\therefore$ area of $\Delta CDE=25c{m}^2$