The new Adventures of Captain Kuyper Season 14 DVD Boxset costs $29 and the sales tax is 5.5%. What is the total cost of the DVD Boxset to the nearest penny? 1 point
$30.60
$1.60
$29.95
$30.45

geometry: triangles

solvers

lessons

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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