Question
Draw a rectangle whose two adjacent sides are $5\ cm$ and $3.5\ cm$. Make use of a pair of compasses and a ruler only.
✓
Answer
Steps of Construction:
$1.$Draw a line-segment $AB = 5\ cm$ with the help of a rular.
$2.$With Aas centre and suitable radius draw an arc cutting $AB$ at $C.$
$3.$With C as centre and same radius cut the previous arc at $D$ and then with $D$ as centre and same radius cut the arc at $E.$
$4.$With $D$ as centre and radius more than half $DE$ draw an arc.
$5.$With $E$ as centre and same radius draw another arc to cut the previous arc at $F.$
$6.$Join $AF$ and produce it to $G$ such that $AG = 3.5\ cm$. Then $\angle\text{BAG}=90^\circ.$
$7.$With $G$ as centre and radius equal to $AB$ draw an arc. With $B$ as centre and radius equal to $AG$ draw another arc to cut the previous arc at $H.$
$8.$Join $GH$ and $BH$. Then, $AB HG$ is the required rectangle.
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