In the illustration eighteen matches are shown arranged so that they enclose two spaces, one just twice as large as the other. 

Can you rearrange them :
(1) so as to enclose two four-sided spaces, one exactly three times as large as the other, and 
(2) so as to enclose two five-sided spaces, one exactly three times as large as the other? 

All the eighteen matches must be fairly used in each case; the two spaces must be quite detached, and there must be no loose ends or duplicated matches.

See answer