I sought help for this one so I am not going to spoil it for anybody. There are no tricks involved though just pure logic like said before:)

Insomniac you've done it again. You must be on a mission to turn us all into insomniacs too. Red, blue, white, english, dane, birds, fish aaaaaargh! sob:( Can't solve it , can't go to sleep.

Well the answer given by 404 to the kids' ages question ie 9,2 and 2 is the only correct answer and the key lies in the number of trees statement. Product of ages was 36, sum of ages = to number of trees. Now takes all the possible combinations of ages and (sum= no. of trees) 1,6,6(13) 2,2,9(13) 3,4,4(11) 1,1,36(38) 1,4,9(14) 1,2,18(21) 1,3,12(16)
2,3,6(11). 2 possible combinations gave the same result when summed up. These are 1+6+6=13 and 9+2+2=13 so there was still a degree of ambiguity which was resolved when the friend mentioned "oldest". From the above it is clear that 2,2, and 9 is the only possible combination which satisfies all the conditions.

Hope my solution below is clear enough. It's all to do with the total area covered by the two shapes IMHO. 15 squares in both cases.

Hi Insomniac, saw your puzzle and just had to try and find another solution without photoshopping. Well here goes. The area of the rectangle formed by the yellow and green shapes in the upper triangle is 15 square units(3 x 5). In the lower triangle it would have to be 16 square units (2 x 8) if the empty square was filled hence the missing section. Now I can sleep:)!!