SOLUTION: ABCD is a rectangle such that AD = 2AB and the diagonal AC = root5 d the the perimeter of rectangle ABCD=?

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Question 1045515: ABCD is a rectangle such that AD = 2AB and the diagonal AC = root5 d the the perimeter of rectangle ABCD=?
Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
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ABCD is a rectangle such that AD = 2AB and the diagonal AC = root5 d the the perimeter of rectangle ABCD=?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

We know AB=CD.

AC=BD=.

Perimeter=.

Let =.  Then =.

You have right angle triangle

 +  = ,

=,

x = 1.

Then AB = 1, AD = 2, and the perimeter = 1 + 2 + 1 + 2 = 6 units.

Answer.  The perimeter is 6 units.

For many other solved similar problems see the lessons
    - Solved problems on the perimeter and side lengths of a triangle
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