Question

rahul made a poster in a shape of parallelogram ABCD and marked the mid-points P,Q,R,S respectively of the sides AB,BC,CD,DA. show that ar(parallelogram PQRS)=1/2 ar(parallelogram ABCD)

Answer 1

hey the answer is ....

ABCD IS A PARALLELOGRAM

PQS AND ABCD ARE ON SAME BASE AND BETWEEN SAME PARALLELS

QS AND QS// AD

area of PQS = 1/2 ADQS(1)

SIMILARLY


QSR = 1/2 QSCB (2)

ADD 1 & 2

PQS + QSR = 1/2 ( ADQS + QSCB )

PQRS = 1/2 ( ABCD)

hence shown






hope it helps uu frnd. .