Construct a quadrilateral PQRS with PQ =3 cm , RS=3 cm, PS = 7.5 cm , PR =8 cm and SQ =4 cm .Justify your result.

Construct a quadrilateral PQRS in which = PQ =4.5 cm , QR =5.2 cm, Rs=5.5cm, PS =4 and anglePQR=120^(@) .

Quadrilateral PQRS with PQ = 3.6 cm, QR = 4.5 cm, RS=5.6 cm, /_RQP= 135^@ and /_SRQ=60^@

Construct a quadrilateral ABCD where Ab=4cm, BC =3.6 cm, CD=4.2cm,Ad=4.8cm and AC =5 cm.

Construct a quadrilateral PQRS, given that PQ = 4 cm, QR = 4.8 cm, /_P = 75^@ , /_Q = 100^@ and angleR= 120^@ .

Construct a /_\ PQR with sides PQ = 4 cm,QR = 5 cm and RP= 7 cm.

A student attempted to draw a quadrilateral PLAY given that PL =3 cm, LA=4 cm ,AY =4.5 cm, PY=2 cm and LY =6 cm. But he was not able to draw it why ? Try to draw the quadrilateral yourself and give reason.

Find the area of a quadrilateral PQRS in which angleQPS = angleSQR = 90^@, PQ = 12 cm, PS = 9 cm, QR = 8 cm and SR = 17 cm . (Hint: PQRS has two parts)

Construct A quadrilateral ABCD in which AB=5 cm, BC=4.5 cm, CD= 6 cm, /_B= 100^@ and /_C=75^@ .

Can you construct the quadrilateral PQRS, PQ =4 cm, QR = 4.8 cm, angleP = 75^@ , /_Q= 100^@ and angleR= 120^@ , if we have an angle of 100^@ at P instead of 75^@ ?Give reason.

Construct the quadrilateral with the measurements given below: Quadrilateral PQRS: PQ =4.2 cm, QR = 3 cm, PS= 2.8 cm, PR= 4.5 cm and QS = 5 cm.