Question

pqrs is a parallelogram E is a point on pq such that qe=2pe and f is a point on rs such that 2rf=sf show that perf is a parallelogram and perf =1/3pqrs

Answer 1

PQRS is a parallelogram . E is a point on PQ such that QE =2PE and F is a point on RS such that 2RF=SF .
To show that PERF is a parallelogram and
saysawhixar (PERF) = 1/3 ar (PQRS).
as PQ || RS
PE || RF
as,QE=2PE
PE+QE=PQ
PE+2PE=PQ
PE=1/3PQ
similarly,
RF=1/3RS
therefore, PQ=RS
1/3PQ=1/3RS
PE=RF
therefore, PERF is a//gm
area=base × height
as,height is equal in both
base=1/3rd of PQRS
so ,
ar (PERF) = 1/3 ar(PQRS).

Answer 2

Step-by-step explanation:

your answer is in give image

along with figured....

hope it helps.