In Fig. 9.13, ABCD is a parallelogram and EFCD is a rectangle.Also, `A L_|_D C`. Prove that(i) `a r\ (A B C D)\ =\ a r\ (E F C D)`(ii) `a r\ (A B C D)\ =\ D C\ xx\ A L`

In Figure, A B C D is a parallelogram and E F C D is a rectangle. Also A L\ _|_D C . Prove that (i) a r(A B C D=a r(E F C D) (ii) a r\ ( A B C D)=D C x A L

In Figure, A B C D is a parallelogram and E F C D is a rectangle. Also A L_|_D Cdot Prove that : a r(A B C D)=a r(E F C D) a r(A B C D)=D CxA L

In Figure, A B C D is a parallelogram and E F C D is a rectangle. Also A L _|_D Cdot Prove that a r(A B C D=a r(E F C D) a r (a A B C D)=D C x A L

A B C D is a parallelogram and O is any point in its interior. Prove that: (i) a r\ ( A O B)+a r\ (C O D)=1/2\ a r(A B C D) (ii) a r\ ( A O B)+\ a r\ ( C O D)=\ a r\ ( B O C)+\ a r( A O D)

If A B C D is a parallelogram, then prove that a r\ (\ A B D)=\ a r\ (\ B C D)=\ a r\ (\ A B C)=\ a r\ (\ A C D)=1/2\ a r\ (|""|^(gm)A B C D)

In Figure, A B C D E\ is a pentagon. A line through B parallel to A C meets D C produced at F . Show that: (i) a r\ ( A C B)=a r\ ( A C F) (ii) a r\ (A E D F)=a r\ (A B C D E)

A B C D is a parallelogram whose diagonals intersect at Odot If P is any point on B O , prove that: a r\ ( A D O)=A R\ ( C D O) a r\ (\ A B P)=\ a r\ (\ C B P)

If A B C D is a parallelogram, the prove that a r( A B D)=a r( B C D)=a r( A B C)=a r( A C D) =1/2a r (||^(gm) A B C D)

In Fig. 9.15, ABCD is a parallelogram, A E_|_D C and C F_|_A D . If A B\ =\ 16\ c m , A E\ =\ 8\ c m and C F\ =\ 10\ c m , find AD.

D and E are points on sides AB and AC respectively of DeltaA B C such that a r\ (D B C)\ =\ a r\ (E B C) . Prove that D E\ ||\ B C .