Help please. this makes no sense

9514 1404 393

  x = 3.6

Step-by-step explanation:

It can be helpful to write down corresponding sides and their measures.

  AB = 5, PQ = 6

  BC = 3, QR = x

  CD = 2, RS = 2.4

  DA = 4, SP = 4.8

Then you can look for easy ways to find x. You can tell from this table that all of the values in PQRS are 6/5 = 1.2 times the corresponding values in ABCD.

Then ...

  QR = 1.2×BC = 1.2×3

  QR = x = 3.6

Other ways you can figure x are ...

  x/BC = PQ/AB

  x = (BC)(PQ/AB) = 3(6/5) = 3.6 . . . . the method we used

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  x/RS = BC/CD

  x = 2.4(3/2) = 3.6

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  x/SP = BC/DA

  x = 4.8(3/4) = 3.6