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# Two diagonals of a rhombus are 72 cm and 30cm respectively. What is it

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Joined: 19 Dec 2016
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Two diagonals of a rhombus are 72 cm and 30cm respectively. What is it  [#permalink]

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14 Jul 2017, 14:28
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Two diagonals of a rhombus are 72 cm and 30cm respectively. What is its perimeter?

A. 136cm
B. 156cm
C. 144cm
D. 121cm
E. 133cm

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Two diagonals of a rhombus are 72 cm and 30cm respectively. What is it  [#permalink]

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14 Jul 2017, 16:27
GTExl wrote:
Two diagonals of a rhombus are 72 cm and 30cm respectively. What is its perimeter?

A. 136cm
B. 156cm
C. 144cm
D. 121cm
E. 133cm

Kudo please if you liked the ques.

It should be B.

The diagonals of a rhombus split the rhombus into 4 equal triangles, each with base and height half that of the diagonal. Hypotenuse of this triangle is one side of the triangle, lets call it $$X$$.

Applying pythagoras theorem,

$$X^2 = 36^2 + 15^2$$

$$X^2 = 3^2 (12^2 + 5^2)$$

$$X^2 = 3^2(169)$$

$$X^2 = 3^2 * 13^2$$

$$X = 3 * 13 = 39.$$

Perimeter would be 4 times $$X$$

$$4 * 39 = 156$$
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Joined: 05 Mar 2015
Posts: 998
Re: Two diagonals of a rhombus are 72 cm and 30cm respectively. What is it  [#permalink]

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14 Jul 2017, 18:47
GTExl wrote:
Two diagonals of a rhombus are 72 cm and 30cm respectively. What is its perimeter?

A. 136cm
B. 156cm
C. 144cm
D. 121cm
E. 133cm

Kudo please if you liked the ques.

PFA below solution

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Re: Two diagonals of a rhombus are 72 cm and 30cm respectively. What is it   [#permalink] 14 Jul 2017, 18:47
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