Question
Construct a square whose area is $25 sq. \ cm.$

Answer

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Steps of construction:
$1)$ Draw $P Q=5 \ cm$.
$2)$ Construct $\angle PQT =90^{\circ}$ at $Q$.
$3)$ From $Q T$ cut off $Q R=5 \ cm$.
$4)$ From $P$ and $R$, draw two arcs of radii $5 \ cm$ each other to cut each other at $S$.
$5)$ Join $PS$ and $RS.$
$6)\text{PQRS}$ is the required square.

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