Construct a quadrilateral ABCD in which AB = BC = 5.5 cm, CD = 4 cm, DA = 6.3 cm, AC = 9.4 cm Measure BD.

Steps of construction:

Step I: Draw AB = 5.5 cm

Step II: With B as the center and radius BC = 5.5 cm, draw an arc.

Step III: With A as the center and radius AC = 9.4 cm, draw an arc to intersect the arc drawn in Step II at C.

Step IV: With C as the center and radius 4 cm, draw an arc.

Step V: With A as the center and radius 6.3 cm, draw an arc to intersect the arc drawn in Step IV at D.

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

ABCD is the required quadrilateral.