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Subdivided parallelogram (Posted on 2019-03-04) Difficulty: 2 of 5
Let ABCD be a parallelogram. Draw QN parallel to AB with Q lying on AD and N lying on BC. Draw another line MS parallel to AD with M lying on AB and S lying on QN. Draw yet another line PT parallel to AD with P lying on CD and T lying on QN.

The area of AMSQ, BNSM, CPTN and DQTP are respectively 12, 36, 48, and 24. What is the area of quadrilateral BSDT?

No Solution Yet Submitted by Danish Ahmed Khan    
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re: step 2 - an answer | Comment 4 of 6 |
(In reply to step 2 - an answer by Steven Lord)

I began also with a 10*12 rectangle, but seeing that some segments were fractions I change to a 8*15. 


There all rectangles are defined by integers -all the areas are multiple of 4 and 3- so that no formulas are needed. 

  Posted by armando on 2019-03-06 02:17:02
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