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# Rotating a square about a fixed point

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Intern
Joined: 16 Feb 2016
Posts: 23

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09 May 2017, 14:20
1

ABCD is a square with length L units. E is mid point of AB. if square is fixed at point B and rotated anti clockwise 45 degrees, find : vertical distance travelled by point E and also the horizontal distance travelled by point E

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Senior Manager
Joined: 02 Mar 2017
Posts: 263
Location: India
Concentration: Finance, Marketing

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09 May 2017, 20:02
2
1
ashygoyal wrote:

ABCD is a square with length L units. E is mid point of AB. if square is fixed at point B and rotated anti clockwise 45 degrees, find : vertical distance travelled by point E and also the horizontal distance travelled by point E

Kudos for the correct explanation

Sent from my Redmi Note 3 using GMAT Club Forum mobile app

When rotated anti clockwise 45 degrees the side makes same angle as that of the diagonal (45).
A isosceles right triangle is obtained whose diagonal is L/2.(E=L/2)
The length of side will give vertical distance
1:1:\sqrt{2} ----->ratio
hence vertical height equals L/2\sqrt{2}

Horizontal distance equals L/2- L/2\sqrt{2}
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Math Expert
Joined: 02 Sep 2009
Posts: 52294

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11 May 2017, 02:05
ashygoyal wrote:

ABCD is a square with length L units. E is mid point of AB. if square is fixed at point B and rotated anti clockwise 45 degrees, find : vertical distance travelled by point E and also the horizontal distance travelled by point E

Kudos for the correct explanation

Sent from my Redmi Note 3 using GMAT Club Forum mobile app

--== 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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Joined: 09 Sep 2013
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03 Aug 2018, 08:18
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Rotating a square about a fixed point &nbs [#permalink] 03 Aug 2018, 08:18
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