Question

$PQRS$ is a parallelogram with perimeter $42cm$ Calculate the sides of the parallelogram .

Answer 1

$P\Rightarrow 2=2(L+B)$

$26=L+B$

$PQ+PS=21$

Area = Base $\times$ Height

$=PQ\times 6=6PQ$

Area $=PS\times 8=8PS$

Area $=8(21-PQ)=168-8PQ$

$6PQ=168-8PQ$

$14PQ=168$

$PQ=12$

$12+PS=Q1\Rightarrow PS=9$
$PQ=RS=12cm$

$PS=QR=9cm$