Construct a rhombus $\mathrm{ABCD}$ on a base $\mathrm{AB}$ $=3.6 \mathrm{cm}$ long and having one of its angles $=45°$

Construct a rhombus $\mathrm{PQRS}$ whose diagonals $\mathrm{PR},\mathrm{QS}$ are $8 \mathrm{cm}$ and $6 \mathrm{cm}$ respectively. Find by construction a point $\mathrm{X}$  equidistant from $\mathrm{PQ}$ and $\mathrm{PS}$ and equidistant from $\mathrm{R},\mathrm{S}$. Measure $\mathrm{XR}.$

[Hint: $\mathrm{X}$ is the point of intersection of $\mathrm{PR}$and right bisector of $\mathrm{RS}$]

Construct a trapezium $\mathrm{PQRS}$ where $\mathrm{PQ}\parallel \mathrm{RS}$ and $\mathrm{PQ}=7 \mathrm{cm}, \mathrm{QR}=3 \mathrm{cm}, \mathrm{RS}=2.5 \mathrm{cm}$ and $\mathrm{SP}=3 \mathrm{cm}$.