Question

Construct a quadrilateral $PQRS$ where $PQ=4$cm,$QR=6$cm,$RS=5$cm,$PS=5.5$cm and $PR=7$cm

Answer 1

$1.$Draw a diagonal $PR$ of length $7$cm.

$2.$Taking $4$cm as radius, and $P$ as center, draw an arc on top of $PR$

$3.$Taking $6$cm as radius, and $R$ as center, draw an arc on top of $PR$

$4.$Taking $5.5$cm as radius, and $P$ as center,

draw an arc below of $PR$

$5.$Taking $5$cm as radius, and $R$ as center, draw an arc below of $PR$

$6.$Let $Q$ be the point where arcs intersect on top of $PR$, and $S$ be the point where arcs intersect below $PR$.Join $PQ,PR,PS,SR$

Label the sides.

Result:$\therefore PQRS$ is the required quadrilateral.