Hi,         

        

Let x AND 3x represent the width and length respecively

Applying the Pythagorean theorem

 x^2 + (3x)^2 = 50cm  

 x^2 + 9x^2 = 50

  10x^2 = 50

    x^2  = 5

   , the width of the rectangle      

Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
 a rectangle has a length that is three times its width. the diagonal of the rectangle is 50cm. find the width of the rectangle

..

width = x

length = 3x

diagonal D = 50

...

By Pythagoras theorem

D^2= x^2+(3x)^2

D^2=x^2+9x^2

D^2=10x^2

50^2= 10x^2

2500/10= x^2

250 = x^2

x= 15.8 cm the width

...

m.ananth@hotmail.ca 

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