Question 24
An equilateral triangle $PQR$ of side 32 cm has three equilateral triangles cut off from its corners to give rise to a hexagon $ABCDEF$. Another equilateral triangle $LMN$ of side $x$ cm gives rise to the same hexagon when subjected to the same treatment. If $AB=8$ cm, $BC=15$ cm, $CD=9$ cm, $DE=10$ cm, $EF=13$ cm and $FA=11$ cm, find the value of $x$.
