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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(3): step 2 - an answer Comment 6 of 6 |
(In reply to re(2): step 2 - an answer by Steven Lord)

           

           |B                 | N                       |C
           |                   |                          |
           |      6x6        |        48              |  (16/3)
       6  |                   |                          |
           |                   |T_____________ |P
        M |__________ |S                        |
           |      2x6        |          24            |  (8/3)
        2 |__________ | ______________|
           A       6          Q         9               D

Now I see it not completely true that there are not fractions but it's true that most are integers. 

See also che to calculate the area of BTS, you just say 
6x6-1/2(6x6)-1/2(6x16/3)=2

Edited on March 7, 2019, 9:53 am
  Posted by armando on 2019-03-07 09:52:29

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