Construct a quadrilateral $\mathrm{PQRS}$ in which $\mathrm{PQ}=4.2 \mathrm{cm}, \mathrm{QR}=3.6 \mathrm{cm}, \mathrm{PS}=4.5 \mathrm{cm}, \text{diagonal} \mathrm{PR}=6 \mathrm{cm} \text{and diagonal }\mathrm{QS}=5.7 \mathrm{cm}$.

A circle is inscribed in quadrilateral ABCD, touching sides AB, BC, CD and DA at P, Q,R and S, respectively. If $\mathrm{As}=6\mathrm{cm},$ $\mathrm{BC}=12\mathrm{cm}$ and $\mathrm{CR}=5\mathrm{cm}$, then the length of AB (in cm) is

Construct a quadrilateral $\mathrm{ABCD}$ in which $\mathrm{AB}=4.2 \mathrm{cm}, \mathrm{BC}=6 \mathrm{cm}, \mathrm{CD}=5.2 \mathrm{cm}, \mathrm{DA}=5\mathrm{cm}$ and $\mathrm{AC}=8 \mathrm{cm}$.

Construct a quadrilateral $\mathrm{PQRS}$ in which $\mathrm{PQ}=5.4 \mathrm{cm}, \mathrm{QR}=4.6 \mathrm{cm}, \mathrm{RS}=4.3 \mathrm{cm}, \mathrm{SP}=3.5 \mathrm{cm}$ and diagonal $\mathrm{PR}=4 \mathrm{cm}$.

Construct a quadrilateral $\mathrm{ABCD}$ in which $\mathrm{AB}=4 \mathrm{cm}, \mathrm{AC}=5 \mathrm{cm}, \mathrm{AD}=5.5 \mathrm{cm}$ and $\angle \mathrm{ABC}=\angle \mathrm{ACD}=90°$.