Question

Construct a square of side $5cm$. Find its area also

Answer 1

Given : $Side=5cm$
Steps for construction
Step $1$ : Draw a rough diagram and mark the given measurements.
Step $2$ : Draw a line segment $PQ=5cm$.
Step $3$ : At $P$ using a compass construct $\overrightarrow{PX}\perp \overrightarrow{PQ}$.
Step $4$ : With $P$ as centre, draw an arc of radius $5cm$ cutting $\overrightarrow{PX}$ at $S$.
Step $5$ : With $S$ as centre, draw an arc of radius $5cm$ above the line segment $\overline{PQ}$.
Step $6$ : With $Q$ as centre and same radius, draw an arc, cutting the previous arc at $R$.
Step $7$ : Join $\overline{QR}$ and $\overline{RS}$.
$PQRS$ is the required square.