Sammy usually takes a 18 minute shower in the morning. if a 4 minute shower uses an average of 20-40 gallons of water, what is the maximum gallons of water that sammy could be using in her shower?
a.72 gallons of waterb.360 gallons of waterc.90 gallons of waterd.180 gallons of water

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

5+2x=a

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