A set of pool balls has solid and striped balls at the rate shown on the graph

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

turn 2 ft into 24 inches. then divide both numbers by 6 getting you 4 and 9. now make the fraction have a numerator of 4 and a denominator of 9, the answer is 4/9.