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ABPQ is a smaller rectangle within a bigger rectangle ABCD,

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Manager
Manager
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Joined: 27 Jul 2003
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ABPQ is a smaller rectangle within a bigger rectangle ABCD, [#permalink] New post 06 Oct 2003, 03:36
00:00
A
B
C
D
E

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  5% (low)

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0% (00:00) correct 0% (00:00) wrong based on 0 sessions
ABPQ is a smaller rectangle within a bigger rectangle ABCD, what is the peimeter of the rectangle ABPQ?
a. The area of rectangular region ABCD is 3 times the area of the rectangular region ABPQ.
b. The perimeter of bigger rectangle ABCD is 54.
Manager
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GMAT Tests User
 [#permalink] New post 06 Oct 2003, 09:54
C?

My first would have been E, but then I saw AB was common in both rectangles, so I decided to answer C. But I decided to do a little calculation to verify. That took me like three-four minutes. Now seems like C is a good choice.
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Re: DS#1-6/10 [#permalink] New post 06 Oct 2003, 15:12
araspai wrote:
ABPQ is a smaller rectangle within a bigger rectangle ABCD, what is the peimeter of the rectangle ABPQ?
a. The area of rectangular region ABCD is 3 times the area of the rectangular region ABPQ.
b. The perimeter of bigger rectangle ABCD is 54.



A...clearly insufficient ..we only know A [ ABPQ] = 1/3 * A[ABCD]
3 * L * W1 = L * W
W = 3 W1
B... clearly insufficient
L + W = 27 ....

combine....
A[ ABPQ] = LW/3

L + W =27 W = 27 - L . W1 = 27 - L / 3

Perimeter of ABPQ = 2 L + 2 (27 - L /3)

I dont see how Wonder got C...what did i miss?

My answer E.

Thanks
praetorian
Re: DS#1-6/10   [#permalink] 06 Oct 2003, 15:12
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ABPQ is a smaller rectangle within a bigger rectangle ABCD,

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