C. A scale factor of 5 is used to reduce the rectangle. What is the new area? d. A scaled factor of 2 is used to increase the triangle. What is the new area?

Edgen students only or if you know the answer!!

you probably already have the answer but anyways it's b. 15.0

step-by-step explanation:

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