Construct, if possible, a quadrilateral ABCD given AB = 6 cm,

Steps of construction:

Step I: Draw $\mathrm{AB}=6 \mathrm{~cm} .$

Step II : With $\mathrm{A}$ as the centre and radius $5.5 \mathrm{~cm}$, draw an arc.

Step III : With B as the centre and radius $6.1 \mathrm{~cm}$, draw an arc to intersect the arc drawn in StepII at D.

Step IV : With B as the centre and radius $3.7 \mathrm{~cm}$, draw an arc on the side.

Step V : With D as the centre and radius $5.7 \mathrm{~cm}$, draw an arc to intersect the arc drawn in StepIV at C.

Step VI : Join BD, DA, BC and CD.

The quadrilateral ABCD so obtained is the required quadrilateral.