7. Terrance needs to find the lateral surface area of the box shown below. Assuming the base is the bottom of
the prism, which of the expressions below will give him
the correct lateral surface area?
A. (14.5)(7)(8.6)
B. (14.5 + 7)(8.6)
C. (14.5 + 14.5 + 7 + 7)(8.6)
D. (14.5 + 14.5 + 7 + 7)(8.6) + 2(14.5)(7)

i can answer this question sweetie!

step-by-step explanation:

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+

25.45584

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