Question

Construct $\square DEFG$ such that $l$(DE)$=4.5$ cm, $l$(EF)$=6.5$cm, $l$(DG)$=5.5$cm, $l$(DF)$=7.2$ cm, $l$(EG)$=7.8$ cm.

Answer 1

$\Rightarrow$ Draw a line segment $DE=4.5cm$

$\Rightarrow$ Take $E$ as center with radius $6.5cm$ and draw an arc.

$\Rightarrow$ Take $D$ as center with radius $7.2cm$ and draw an arc meeting previous arc at point $F$

$\Rightarrow$ Take $E$ as center with radius $7.8cm$ and draw an arc.

$\Rightarrow$ Take $D$ as center with radius $5.5cm$ and draw an arc meeting previous arc at point $G$

$\Rightarrow$ Join $EF,DF,FG$ and $DG$

$\therefore$ $DEFG$ is required quadrilateral.