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)   (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
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