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What is the area of the region bounded by the lines y = |x|

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medusa5197
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What is the area of the region bounded by the lines y = |x| [#permalink] New post   21 Apr 2020, 07:54
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What is the area of the region bounded by the lines y = |x| - 2 and y = 2 - |x| ?

    [A] 2
    [B] 6
    [C] 8
    [D] 12
    [E] 16
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Official Answer
C
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medusa5197
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Re: What is the area of the region bounded by the lines y = |x| [#permalink] New post   21 Apr 2020, 08:13
Can anyone please explain the answer?
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kumaran14
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Re: What is the area of the region bounded by the lines y = |x| [#permalink] New post   12 Jul 2020, 22:38
medusa5197 wrote:
What is the area of the region bounded by the lines y = |x| - z and y = z - |x| ?

    [A] 2
    [B] 6
    [C] 8
    [D] 12
    [E] 16



Can someone please explain the solution ?
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Farina
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Re: What is the area of the region bounded by the lines y = |x| [#permalink] New post   12 Jul 2020, 22:51
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CharlesChandler
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Re: What is the area of the region bounded by the lines y = |x| [#permalink] New post   13 Jul 2020, 05:29
I don't quite understand the answer... I ran into a problem.
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chacinluis
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Re: What is the area of the region bounded by the lines y = |x| [#permalink] New post   10 Aug 2020, 07:38
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Attachment:
absSquare.PNG
absSquare.PNG [ 11.96 KiB | Viewed 1899 times ]


The guy that wrote this question wrote z instead of 2 !!

we should have functions

y=|x|-2
y=2-|x|

From the diagram we can see that the area enclosed by both absolute value functions
is a square with sides 2*(2^.5)

Area= (2(2^.5))^2 = 4*2= 8

Final Answer= C
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Re: What is the area of the region bounded by the lines y = |x| [#permalink] New post   20 Aug 2021, 00:05
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep 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: What is the area of the region bounded by the lines y = |x| [#permalink]
20 Aug 2021, 00:05
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