SOLUTION: a rectangle has a length that is three times its width. the diagonal of the rectangle is 50cm. find the width of the rectangle

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Question 391535: a rectangle has a length that is three times its width. the diagonal of the rectangle is 50cm. find the width of the rectangle
Found 2 solutions by ewatrrr, mananth:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


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

   +x+=+sqrt%285%29, the width of the rectangle

Answer by mananth(16946) About Me  (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