The rectangular prism is to be sliced perpendicular to the shaded face and is to pass through point a, perpendicular to the front face. what will the dimensions of the rectangular cross section be? mc012-1.jpg a) 4 inches by 6 inches b) 4 inches by 3 inches c) 3 inches by 6 inches d) 2 inches by 6 inches

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

just took the test and my answers down below!

step-by-step explanation:

check the pic :