Candita uses 1/4 of an ounce of green paint each time she
draws a green line on her painting. she draws a total of 7 green
lines. which expression represents the amount of green paint that
candita used drawing green lines on the painting? check all that apply.
1/4
1/4+1/4
1/4+1/4+1/4+1/4+1/4+1/4+1/4
7/4
7/4+7/4+7/4+7/4

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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