The rough sketch of the quadrilateral GOLD can be drawn as follows.
(1) ∆ GDL can be constructed by using the given measurements as per the steps given below
(2) Vertex O is 10 cm away from vertex D and 7.5 cm away from vertex L.
Hence, while taking D and L as centres, draw arcs of 10 cm radius and 7.5 cm radius respectively.
These will intersect each other at point O.
(3) Join O to G and L.
GOLD is the required quadrilateral.