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

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Math Expert
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If rectangle ABCD can be divided into two equal squares, what is the  [#permalink]

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New post 02 Sep 2018, 21:50
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

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

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Director
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Concentration: Strategy, General Management
Re: If rectangle ABCD can be divided into two equal squares, what is the  [#permalink]

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New post 03 Sep 2018, 03:00
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

D
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Re: If rectangle ABCD can be divided into two equal squares, what is the  [#permalink]

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New post 03 Sep 2018, 03:04
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

Answer: Option D
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Re: If rectangle ABCD can be divided into two equal squares, what is the   [#permalink] 03 Sep 2018, 03:04
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