SOLUTION: a rectangle has a length that is twice its width. the perimeter of the rectangle is 420. find the length of the diagonal of the rectangle

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Question 391536: a rectangle has a length that is twice its width. the perimeter of the rectangle is 420. find the length of the diagonal of the rectangle
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,         



Hi,         

Let x AND 2x represent the width and length respecively

Question states;

 2(2x) + 2x = 420

 4x + 2x = 420

     6x = 420

      x = 70, the width.  Length is 140   (2*70)

Applying the Pythagorean theorem

 70^2 + 140^2 = d^2

        156.5248 is the length of the diagonal