Some trapezium area question

lPing7

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Since this forum doesn't solve your homework problems fully, I need guidance on how to start this 10th problem
 

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Since this forum doesn't solve your homework problems fully, I need guidance on how to start this 10th problem

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Drop two perpendiculars from C & D onto AB.

Does it show you a path to prove XY = 50 cm?
 
I guess so. I can do this much. I know YX parallel to DC and AB. but I can't prove it
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