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 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