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# In the figure above, region PQRSTU consists of three square regions an

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Math Expert
Joined: 02 Sep 2009
Posts: 50627
In the figure above, region PQRSTU consists of three square regions an  [#permalink]

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09 Nov 2017, 22:42
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Difficulty:

(N/A)

Question Stats:

89% (02:38) correct 11% (02:00) wrong based on 15 sessions

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In the figure above, region PQRSTU consists of three square regions and two triangular regions. If the square regions have areas 16, 36 and 16, what is the perimeter of PQRSTU?

(A) 22 + 4√5
(B) 28 + 2√5
(C) 28 + 4√5
(D) 34 + 2√5
(E) 34 + 4√5

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2017-11-10_1034.png [ 7.16 KiB | Viewed 411 times ]

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Re: In the figure above, region PQRSTU consists of three square regions an  [#permalink]

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09 Nov 2017, 22:47
Option C
PU=4+6+4
QP=TU=4
RS=6
QR=ST=sqrt(4^2+2^2)= sqrt(20)
Adding 14+4+4+6+2.sqrt(20)
=28+4sqrt(5)

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Re: In the figure above, region PQRSTU consists of three square regions an &nbs [#permalink] 09 Nov 2017, 22:47
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# In the figure above, region PQRSTU consists of three square regions an

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