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# What is the area of square ABCD, as shown in the coordinate plane abov

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Director
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What is the area of square ABCD, as shown in the coordinate plane abov  [#permalink]

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04 Aug 2016, 10:52
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Difficulty:

45% (medium)

Question Stats:

55% (01:16) correct 45% (01:21) wrong based on 110 sessions

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What is the area of square ABCD, as shown in the coordinate plane above?

(1) Point A has coordinates (0,4).

(2) Points B and D have coordinates (4,8) and (4,0), respectively.

Attachment:

2018-11-03_1313.png [ 37.4 KiB | Viewed 1283 times ]

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Md. Abdur Rakib

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Sentence Correction-Collection of Ron Purewal's "elliptical construction/analogies" for SC Challenges
Director
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Re: What is the area of square ABCD, as shown in the coordinate plane abov  [#permalink]

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04 Aug 2016, 11:26
AbdurRakib wrote:

What is the area of square ABCD, as shown in the coordinate
plane above?
(1) Point A has coordinates (0,4).
(2) Points B and D have coordinates (4,8) and (4,0),
respectively.

(1) coordinates of D is unknown..
insuff....
(2) BD=8=hypotenuse of isosceles triangle
sq.root2*a=8
a=4*sq.root2
area =32sq.mts
suff..
Ans B
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Re: What is the area of square ABCD, as shown in the coordinate plane abov  [#permalink]

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05 Aug 2016, 15:04
Statement 1 gives us the co-ordinate of point A
but we need co-ordinate of any other 3 points(B,C and D) so that we may get length of a side or diagonal from which we can calculate the area of square easily so insufficient
Statement 2 gives the co-ordinates of endpoints of diagonal BD using them we can find the diagonal length and thus the area of the square so sufficient

Correct Answer - B

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Re: What is the area of square ABCD, as shown in the coordinate plane abov  [#permalink]

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13 Apr 2017, 04:06
1
Urgent Help!!!

A) It's given A(0,4) , it means that distance from origin to point A is 4 and A is half the distance from B , So A =4 and B from origin will b 8 , So diagonal = 8

8 = a * root(2)
a = 4*root(2)

and we an evaluate the area...isn't it ?????????????
Director
Joined: 05 Mar 2015
Posts: 989
Re: What is the area of square ABCD, as shown in the coordinate plane abov  [#permalink]

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13 Apr 2017, 07:38
1
rocko911 wrote:
Urgent Help!!!

A) It's given A(0,4) , it means that distance from origin to point A is 4 and A is half the distance from B , So A =4 and B from origin will b 8 , So diagonal = 8

8 = a * root(2)
a = 4*root(2)

and we an evaluate the area...isn't it ?????????????

Hi rocko911

Let the origin be point o
then the other two angles of right triangle ADO may be anything , which changes the value of side (hyp. of triangle) of square with angles
so u cannot deduce the diagonal to be 8 ..
for more visual clarity , refer below fig attached
hope u understand
Attachments

Untitled.png [ 4.84 KiB | Viewed 2306 times ]

Intern
Joined: 06 Feb 2016
Posts: 19
Re: What is the area of square ABCD, as shown in the coordinate plane abov  [#permalink]

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13 Apr 2017, 08:47
rohit8865 wrote:
rocko911 wrote:
Urgent Help!!!

A) It's given A(0,4) , it means that distance from origin to point A is 4 and A is half the distance from B , So A =4 and B from origin will b 8 , So diagonal = 8

8 = a * root(2)
a = 4*root(2)

and we an evaluate the area...isn't it ?????????????

Let the origin be point o
then the other two angles of right triangle ADO may be anything , which changes the value of side (hyp. of triangle) of square with angles
so u cannot deduce the diagonal to be 8 ..
for more visual clarity , refer below fig attached
hope u understand

In GMAT guidelines they say that pic is presented with the actual proportions, meaning that if you see square on the pic, you can be sure that sides of the figure have the same length, or like in our case, if you see equal lines on the linear plane they should be equal as well as angles. Please correct me if I'm wrong.
Director
Joined: 05 Mar 2015
Posts: 989
Re: What is the area of square ABCD, as shown in the coordinate plane abov  [#permalink]

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13 Apr 2017, 10:17
StaicyT wrote:
rohit8865 wrote:
rocko911 wrote:
Urgent Help!!!

A) It's given A(0,4) , it means that distance from origin to point A is 4 and A is half the distance from B , So A =4 and B from origin will b 8 , So diagonal = 8

8 = a * root(2)
a = 4*root(2)

and we an evaluate the area...isn't it ?????????????

Let the origin be point o
then the other two angles of right triangle ADO may be anything , which changes the value of side (hyp. of triangle) of square with angles
so u cannot deduce the diagonal to be 8 ..
for more visual clarity , refer below fig attached
hope u understand

In GMAT guidelines they say that pic is presented with the actual proportions, meaning that if you see square on the pic, you can be sure that sides of the figure have the same length, or like in our case, if you see equal lines on the linear plane they should be equal as well as angles. Please correct me if I'm wrong.

GMAT gives u enough info for deducing about given fig.
in above ques it was clearly stated that fig is sq. , if not so then the fig may be rectangle.
Director
Joined: 27 May 2012
Posts: 803
Re: What is the area of square ABCD, as shown in the coordinate plane abov  [#permalink]

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03 Nov 2018, 01:59
1
AbdurRakib wrote:

What is the area of square ABCD, as shown in the coordinate
plane above?
(1) Point A has coordinates (0,4).
(2) Points B and D have coordinates (4,8) and (4,0),
respectively.

Dear Moderator,
Please check this question, the image of the same is not visible. Thank you.
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- Stne
Math Expert
Joined: 02 Sep 2009
Posts: 55803
Re: What is the area of square ABCD, as shown in the coordinate plane abov  [#permalink]

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03 Nov 2018, 02:15
stne wrote:
AbdurRakib wrote:

What is the area of square ABCD, as shown in the coordinate
plane above?
(1) Point A has coordinates (0,4).
(2) Points B and D have coordinates (4,8) and (4,0),
respectively.

Dear Moderator,
Please check this question, the image of the same is not visible. Thank you.

Fixed that. Thank you for noticing.
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Intern
Joined: 24 Jun 2017
Posts: 24
Re: What is the area of square ABCD, as shown in the coordinate plane abov  [#permalink]

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22 Feb 2019, 09:24
chetan2u , sir need your help here
if suppose the point of intersection of diagonals AC and BD is P , so in a square DP = BP and that is BD/2 and BD=side *sqrt(2) so , if the origin is O can't we say OA=DP and hence evaluate side and area

Re: What is the area of square ABCD, as shown in the coordinate plane abov   [#permalink] 22 Feb 2019, 09:24
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# What is the area of square ABCD, as shown in the coordinate plane abov

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