ABCD is parallelogram and ABEF is a rectangle and DG is perpendicular on AB.
Prove that (i) ar (ABCD) = ar(ABEF)
(ii) ar (ABCD) = `AB xx DG`

ABCD is parallelogram and ABEF is a rectangle and DG is perpendicular on AB. Prove that ar (ABCD)= ABxxDG

ABCD is a parallelogram. AE is perpendicular on DC and cF is perpendicular on AD. If AB = 10 cm, AE = 8 cm and CF = 12 cm. Find AD

ABCD is a parallelogram DE _|_ AB, DF_|_BC . Find DF.

PQRS and ABRS are parallelograms and X is any point on the side BR. Show that (i) ar(PQRS) = ar(ABRS) (ii) ar(DeltaAXS) =1/2 ar(PQRS)

In the figure, ABCDE is a pentagon. A line through B parallel to AC meets DC produced at F. Show that (i) ar (DeltaACB) = ar (DeltaACF) (ii) ar (AEDF) = ar (ABCDE)

ABCD is a parallelogram and P is a point of bar(CD) . Show that ar(/_\ABP) = ar(/_\ADP+ /_\BCP) .

ABCD is a parallelogram and AP and CQ are perpendicular from vertices A and C on diagonal BD (see figure) show that : /_\APB ~= /_\CQD

Triangle ABC and parallelogram ABEF are on the same base, AB as in between the same parallels AB and EF. Prove that ar (DeltaABC) = 1/2 ar(|| gm ABEF)

In the adjacent figure ABCD is a parallelogram ABEF is a rectangle show that DeltaAFD~=DeltaBEC .