Let us draw the rough sketch of the quadrilateral PLAY and mark its measurements, No, this quadrilateral cannot be drawn.
∵ Point P cannot be located. In ∆ LPY, sum of the lengths of PL and PY is less than LY, i.e. (2 cm + 3 cm) < 6 cm.
No, any 5 measurements (elements) cannot determine a quadrilateral. Actually to construct a quadrilateral, we need a specific combination of measurements such as:
(a) Four sides and one diagonal.
(b) Three sides and two diagonals.
(c) Two adjacent sides and three angles.
(d) Three sides and two included angles.
(e) Some special properties are given.
Solution not provided.
Let us draw a rough sketch of BATS as given.
Here, we cannot locate the points T and B without knowing the measurements ST and SB respectively.
Thus, we cannot draw a parallelogram with the given measurements.