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# In the figure above, what is the value of z?

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Re: In the figure above, what is the value of z? [#permalink]
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walker

In the figure above, what is the value of z?

1) x = y = 1
2) w = 2

Attachment:
OG2017_DS237.png

Stat 1: X = Y = 1 , from the figure we can understand that all sides are equal and it is square. Z = 1 + A .. we are not sure of A ( A is the bottom line in right angled triangle)...Insufficient.

Stat 2: W = 2... We are not sure the about atleast the other side of the right angled triangle to know the value of A...Insufficient.

Stats 1 + 2 = $$1^2$$ + $$A^2$$ = $$2^2$$ ... we can get the value of A... both sufficient to get the value of Z.

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Re: In the figure above, what is the value of z? [#permalink]
C

I got mislead by reading 2 as sq.root of 2, and ended up with A ..
(thinking that B is just another way of writing A).

C is good.
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Re: In the figure above, what is the value of z? [#permalink]
x=y=1 implies its a square but we still need one ore side of the trianglee or an angle to find the other side with first statement so insufficient.
Statement 2 is clearly insufficient alone.

But both the statements combined are sufficient as we have 2 sides known.
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Re: In the figure above, what is the value of z? [#permalink]
walker

In the figure above, what is the value of z?

1) x = y = 1
2) w = 2

Attachment:
OG2017_DS237.png
Attachment:
DS04594_f001.jpg

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Re: In the figure above, what is the value of z? [#permalink]
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Video solution from Quant Reasoning:
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Re: In the figure above, what is the value of z? [#permalink]
Hi, I need someone's help clarifying one thing.

I read somewhere that in GMAT dont assume anything that is not mentioned and in this question it is not mentioned that opposite sides of the quadrilateral are equal so in my head I can't assume it as a square/rectangle and thus wont be able to assume second side of triangle as 1 and thus cant apply pythagoras theorem. I see OA is C so my that understanding is definitely incorrect.

Can somewhere clarify what level of assumptions can be made and cannot be made especially in geometry questions where you have figure and can see it to be a square/rectangle like in this case
Re: In the figure above, what is the value of z? [#permalink]
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