Harry buys 22 fish he has a round fish bowl and a rectangular fish tank how could he place the fish in the bowl and tank

He could either divide it evenly and put 11 in the round fish bowl and 11 and the rectangular fish tank or since the rectangular fish tank should be bigger put more fish in the rectangular one and less in the round fish bowl.

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geometry: triangles

solvers

lessons

answers archive

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+

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