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filipembribeiro
Joined: 20 Jul 2020
Last visit: 06 Mar 2026
Posts: 36
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Location: Brazil
Concentration: Leadership, Technology
Schools: Stanford '26 Kellogg '26 INSEAD Jan '26 IESE '26 HBS '28
GMAT Focus 1: 645 Q80 V83 DI83 
GMAT Focus 2: 675 Q84 V84 DI83
GPA: 3.0
WE:Consulting (Consulting)
Schools: Stanford '26 Kellogg '26 INSEAD Jan '26 IESE '26 HBS '28
GMAT Focus 2: 675 Q84 V84 DI83
Posts: 36
Updated on: 01 Jun 2021, 04:00
Originally posted by filipembribeiro on 01 Jun 2021, 03:56.
Last edited by Bunuel on 01 Jun 2021, 04:00, edited 2 times in total.
Last edited by Bunuel on 01 Jun 2021, 04:00, edited 2 times in total.
Attached the image and moved to DS forum.
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
57% (01:57) correct
43%
(02:05)
wrong
based on 75
sessions
History
Date
Time
Result
Not Attempted Yet
Do the rectangle ABCD and the square EFGH have the same area?
(1) AC = EG, AB = ½ EH
(2) The area of triangle ABC is not equal to the area of triangle EFG.
Attachment:
rectangle.PNG [ 9.32 KiB | Viewed 3190 times ]
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
01 Jun 2021, 05:36
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filipembribeiro
1) Diagonals are same => AC=EG.
Given a diagonal, the largest area will be when the two sides are equal.
Thus area of square will be the greatest. But if the rectangle also has equal sides, that is it is similar to the square, then it is equal, otherwise the area of rectangle will always be less.
However, AB=EH/2, that is the rectangle is similar to the square.
Hence area of square is greater.
Sufficient
2) \(A(\triangle ABC =A(\triangle ACD)\), as diagonals divide the area of a square or a rectangle in equal parts.
Similarly \(A(\triangle EFG =A(\triangle EGH)\)
Also \(A(ABCD)=A(\triangle ABC) +A(\triangle ACD)=2 A(\triangle ABC)\)
\(A(EFGH)=A(\triangle EFG) +A(\triangle EGH)=2 A(\triangle EFG)\)
But it is given that area of ABC is not equal to area of EFG.
Hence twice if their areas will also be not equal, meaning that area of square is not equal to area of rectangle.
Sufficient
D
17 Jul 2023, 00:06
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