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 $A B=5 cm$ with the help of a rular.
2. With Aas centre and suitable radius draw an arc cutting $A B$ 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 $D E$ 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 $\angle BAG =90^{\circ}$.
7. With $G$ as centre and radius equal to $A B$ draw an arc. With $B$ as centre and radius equal to $A G$ draw another arc to cut the previous arc at $H.$
8. Join $G H$ and $B H$. Then, $A B H G$ is the required rectangle.
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