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Two Islands

Two islands have the same form of a convex pentagon. The smaller is the
reduction of the other one with a coefficient equal to 75%.
[That is, every line on one island is exactly 75% the length of one found
on the other island.] Strangely, their
respective maps on two tracing papers are in such a way that 4 sides of the
smaller can be placed exactly along 4 sides of the other one [when rotated
appropriately].
Find a possible representation of the two islands.
Source: Philippe Fondanaiche, citing
Elisabeth Busser and Gilles Cohen POLE 1999

Solution

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