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555-605 (Medium)|   Geometry|      
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Bunuel
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In the figure above, P and S are points on the x-axis. What is the ar 15 Feb 2018, 23:39
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61% (00:56) correct 39% (00:56) wrong based on 46 sessions

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In the figure above, P and S are points on the x-axis. What is the area of square PQRS?

(1) The coordinates of point P are (2, 0).

(2) The coordinates of point R are (6, 4).


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B
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In the figure above, P and S are points on the x-axis. What is the ar 15 Feb 2018, 23:56
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Bunuel

In the figure above, P and S are points on the x-axis. What is the area of square PQRS?

(1) The coordinates of point P are (2, 0).

(2) The coordinates of point R are (6, 4).


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Attachment:
2018-02-16_1038.png
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We know a square has equal sides

statement 1 P(2,0)

doesn't help in knowing the length of the side of the given square
insufficient

statement 2 R(6.4)

we know SR = B

sufficient

(B) imo
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In the figure above, P and S are points on the x-axis. What is the ar 16 Feb 2018, 00:09
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Hatakekakashi
Bunuel

In the figure above, P and S are points on the x-axis. What is the area of square PQRS?

(1) The coordinates of point P are (2, 0).

(2) The coordinates of point R are (6, 4).


Show Spoiler
Attachment:
2018-02-16_1038.png


We know a square has equal sides

statement 1 P(2,0)

doesn't help in knowing the length of the side of the given square
insufficient

statement 2 R(6.4)

if we knew another diagonal we can find the length of diagonal and since it's not given
insufficient

combining

we have coordinates of 2 diagonals and the distance b/w them gives length of the diagonal and thus we can find the side and then area

(C) imo
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Shouldnt , B be sufficient,

Since R has co ordinates (6,4) which essentially means the vertical distance SR is 4 units , since the figure is square we can thus find the area !!

pls suggest if m making a mistake
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In the figure above, P and S are points on the x-axis. What is the ar 16 Feb 2018, 00:16
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doomedcat



Shouldnt , B be sufficient,

Since R has co ordinates (6,4) which essentially means the vertical distance SR is 4 units , since the figure is square we can thus find the area !!

pls suggest if m making a mistake
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That gives OS distance but we don't know PS distance, which is the side of the square

hope this helps
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In the figure above, P and S are points on the x-axis. What is the ar 16 Feb 2018, 00:37
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doomedcat



Shouldnt , B be sufficient,

Since R has co ordinates (6,4) which essentially means the vertical distance SR is 4 units , since the figure is square we can thus find the area !!

pls suggest if m making a mistake


That gives OS distance but we don't know PS distance, which is the side of the square

hope this helps
Show more

Hi

From second statement we get that OS distance is 6, but we also get that SR distance is 4, and since its a square with each side equal we now know that PS is also 4.
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In the figure above, P and S are points on the x-axis. What is the ar 16 Feb 2018, 00:46
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amanvermagmat
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doomedcat



Shouldnt , B be sufficient,

Since R has co ordinates (6,4) which essentially means the vertical distance SR is 4 units , since the figure is square we can thus find the area !!

pls suggest if m making a mistake


That gives OS distance but we don't know PS distance, which is the side of the square

hope this helps

Hi

From second statement we get that OS distance is 6, but we also get that SR distance is 4, and since its a square with each side equal we now know that PS is also 4.
Show more

how foolish to make a silly mistake.. thanks made the edit :D

Regards,
HK
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