The given details are AB = 6 cm, BC = 3.7 cm, CD = 5.7 cm, AD = 5.5 cm and BD = 6.1 cm.
Steps to construct a quadrilateral:
Step 1- Draw a line AB of length 6cm.
Step 2- With A as a center cut an arc of radius 5.5cm and mark that point as D.
Step 3- With B as a center cut an arc of radius 6.1cm to intersect with point D.
Step 4- With B as a center cut an arc of radius 3.7cm and mark that point as C.
Step 5- With D as a center cut an arc of radius 5.7cm to intersect with point C.
Step 6- Now join AD, BD, BC and DC
Construct a quadrilateral PQRS in which PQ = 4 cm, QR = 5 cm ∠P = 50°, ∠Q = 110° and ∠R = 70°.
Construct a quadrilateral ABCD ∠A = 65°, ∠B = 105°, ∠C = 75°, BC = 5.7 cm and CD = 6.8 cm.
Construct a quadrilateral ABCD when BC = 5.5 cm, CD = 4.1 cm, ∠A = 70°, ∠B = 110° and ∠D = 85°.
Construct a quadrilateral PQRS where PQ = 3.5 cm, QR = 6.5 cm, ∠P = ∠R = 105° and ∠S = 75°.
Construct a quadrilateral ABCD where AB = 5.5 cm, BC = 3.7 cm, ∠A = 60°, ∠B = 105° and ∠D = 90°.