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Math Expert V
Joined: 02 Sep 2009
Posts: 58464
If rectangle ABCD can be divided into two equal squares, what is the  [#permalink]

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Difficulty:   15% (low)

Question Stats: 95% (00:43) correct 5% (00:46) wrong based on 22 sessions

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If rectangle ABCD can be divided into two equal squares, what is the area of rectangle ABCD?

(1) The side of one of the squares that can be formed is 10.
(2) The sum of the perimeters of the two squares that can be formed by dividing rectangle ABCD is 80.

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Director  G
Joined: 20 Feb 2015
Posts: 756
Concentration: Strategy, General Management
Re: If rectangle ABCD can be divided into two equal squares, what is the  [#permalink]

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Bunuel wrote:
If rectangle ABCD can be divided into two equal squares, what is the area of rectangle ABCD?

(1) The side of one of the squares that can be formed is 10.
(2) The sum of the perimeters of the two squares that can be formed by dividing rectangle ABCD is 80.

(1) The side of one of the squares that can be formed is 10.
area = 2*(100) =200
sufficient

(2) The sum of the perimeters of the two squares that can be formed by dividing rectangle ABCD is 80.
8a=80
a=10
area = 200
sufficient

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Status: GMATINSIGHT Tutor
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Posts: 2978
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WE: Education (Education)
Re: If rectangle ABCD can be divided into two equal squares, what is the  [#permalink]

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Bunuel wrote:
If rectangle ABCD can be divided into two equal squares, what is the area of rectangle ABCD?

(1) The side of one of the squares that can be formed is 10.
(2) The sum of the perimeters of the two squares that can be formed by dividing rectangle ABCD is 80.

Given ARea of ABCD = Area of two squares
i.e. Length of ABCD = 2a if Width of rectangle = a = Side of square

Question: Area of rectangle ABCD = 2a*a = ?

Statement 1: The side of one of the squares that can be formed is 10.

i.e. a = 10 hence

SUFFICIENT

Statement 2: The sum of the perimeters of the two squares that can be formed by dividing rectangle ABCD is 80
i.e. 2*4a = 80 i.e. a = 10

SUFFICIENT

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ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION Re: If rectangle ABCD can be divided into two equal squares, what is the   [#permalink] 03 Sep 2018, 03:04
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