Aparticular red oak leaf measures 6 inches from tip to stem. in a scale drawing the red oak leaf measures 1.5 inches from the tip to stem. using the same scale, a drawing of a post oak leaf measures 0.8 inches from tip to stem what is the actual lenght of the post oak leaf?

a. 2.0 in.
b. 3.2 in.
c. 9.8 in.
d. 11.3 in.

geometry: triangles

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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

i believe its the last graph

15. x> 15/4,x< 17/2

step-by-step explanation: