Arectangle is drawn on a coordinate plane. three vertices of the rectangle are points m(8,7) , n(8,−4) , and p(−5,−4) . point l is the fourth vertex of the rectangle. how long is the side of the rectangle connecting points l and p? enter your answer in the box.

the 3rd option is right

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+

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