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?

(In reply to re: step 2 - an answer by armando)

Thanks armando. I am trying reproduce your 8*15 all rectangles solution. Which of the two lengths is AB?

Posted by Steven Lord on 2019-03-07 02:48:58