Question

Draw the following:
A rectangle with adjacent sides of lengths $5cm$ and $4cm$.

Answer 1

Steps of construction:

$1.$ Draw a line segment $AB$ of length $5cm$.

$2.$ Draw perpendicular lines at $A$ and $B$ using protractor.

$3.$ Using compass cut arc at the perpendicular from $A$ and $B$ of lengths $4cm$ which intersects the perpendiculars at $D$ and $C$ respectively.

$4.$ Join these $CD$.

Hence, $ABCD$ is required rectangle.

Verification:

In $ABCD$, $\angle A=\angle B=\angle C=\angle D={90}^{\circ }$

$AB=CD=5cm,AD=BD=4cm$

So, $ABCD$ is a rectangle.