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# ABPQ is a smaller rectangle within a bigger rectangle ABCD,

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Manager
Joined: 27 Jul 2003
Posts: 124
Location: Singapore
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ABPQ is a smaller rectangle within a bigger rectangle ABCD, [#permalink]  06 Oct 2003, 03:36
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5% (low)

Question Stats:

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
Joined: 26 Aug 2003
Posts: 233
Location: United States
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Kudos [?]: 1 [0], given: 0

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.
CEO
Joined: 15 Aug 2003
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Kudos [?]: 649 [0], given: 781

Re: DS#1-6/10 [#permalink]  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?

Thanks
praetorian
Re: DS#1-6/10   [#permalink] 06 Oct 2003, 15:12
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