Hi,



 P = 2*L + 2*W

 80 = 2*L + 2*W

 40 = L + W

Let x and (40-x) represent the width and length respectively

Question states***

   | Cross Multiplying to solve

     5x = 3(40-x)

     8x = 120

      x = 15cm, the width.  The Length is 25cm.   (40cm-15cm)



CHECKING our Answer***

25/15 = 5/3 

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