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A vertical rectangular post with horizontal top ABCD has AB=11cm and BC=8cm. Points P,Q,R, and S are chosen on the post vertically below A,B,C and D respectively, so that the slice PQRS, through the post is a parallelogram. If AP=33cm, BQ=56cm, and CR=47cm, then the length of DS is: a) 24 b) 32 c) 44 d) 48 e) 52
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