Awater-efficient washer costs $400 more than a regular washer and saves 100 l of water for each load. if water costs $5 per 1,000 l and you wash 100 loads each year, how many years will it take you to recoup the extra cost of the machine?

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

answer is 33

step-by-step explanation: