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In the figure above, a rectangle is divided into smaller rectangles

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Bunuel
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In the figure above, a rectangle is divided into smaller rectangles [#permalink] New post   08 Feb 2018, 06:26
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46% (02:06) correct 54% (02:16) wrong based on 276 sessions
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In the figure above, a rectangle is divided into smaller rectangles of the same shape and size. What is the area of the large rectangle?

(1) The length of the darkened path at the top of the diagram is 45.

(2) The length of the darkened path at the bottom of the diagram is 39.





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mygmat0101
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Re: In the figure above, a rectangle is divided into smaller rectangles [#permalink] New post   08 Feb 2018, 12:17
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Answer is D

Each statement alone is enough to answer
You need to observe carefully to answer this question
consider the length n breadth to be "l" , "b"

1) the total length is 3l+3b
we can find value of l+b and the perimeter of big rectangle too
2)the total length is 3l+3b
we can find value of l+b and the perimeter of big rectangle too
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almazovniko
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Re: In the figure above, a rectangle is divided into smaller rectangles [#permalink] New post   13 Nov 2018, 17:13
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Bunuel wrote:

In the figure above, a rectangle is divided into smaller rectangles of the same shape and size. What is the area of the large rectangle?

(1) The length of the darkened path at the top of the diagram is 45.

(2) The length of the darkened path at the bottom of the diagram is 39.


Show Spoiler
Attachment:
2018-02-08_1724.png


Very cool question.

Here is how I solved it:

Statement 1

The length of the top path is 45. When I look at the top side and the bottom side, since its a rectangle, they should be equal. Bottom side has 2 long sides, top side has 1 long side and 3 short sides. Therefore, 1 long side = 3 short sides.

The top path consists of 3 long sides and 3 short sides. We know that 3 short sides = 1 long side. Therefore 4 long sides = 45. No need to go further. This is enough to find out the area of the large triangle.

Sufficient

Statement 2

Same as above, but 39 in length and it has 4 short sides and 3 long sides. Logic above can apply for this. No need to calculate anything.

Sufficient

Kudos if helped.
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PierTotti17
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Re: In the figure above, a rectangle is divided into smaller rectangles [#permalink] New post   19 Nov 2018, 11:11
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Got answer D, but I think it would not appear on GMAT since each statement yields a different area.

Statement 1 --> 12x=45 --> x=45/12 or x= 15/4

Height (big rectangle) = 7x
Length = 6x
Area = 6x*7x = 590.625

Sufficient.

Statement 2 --> 13x = 39 --> x=3
Area =7(3)*6(3) = 378

2 different answers. But nonetheless, the area can be found using either statement.
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Re: In the figure above, a rectangle is divided into smaller rectangles [#permalink] New post   19 Nov 2018, 13:32
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Bunuel wrote:

In the figure above, a rectangle is divided into smaller rectangles of the same shape and size. What is the area of the large rectangle?

(1) The length of the darkened path at the top of the diagram is 45.

(2) The length of the darkened path at the bottom of the diagram is 39.


Show Spoiler
Attachment:
2018-02-08_1724.png



We can see that 3 short sides = 1 long side.

Each statement gives us a second question that allows us to solve for both variables. Thus, each is sufficient.

The problem is a bit confusing to me since each statement creates a different answer to the overall question, and I would not expect the statements to conflict with one another. Am I wrong about this conflict?
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Pranjal3107
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Re: In the figure above, a rectangle is divided into smaller rectangles [#permalink] New post   05 Oct 2020, 09:10
Hi Can anyone explain the long side and short side ? Is it the length and breadth we're talking about here ?
Sorry for such a silly question.
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Re: In the figure above, a rectangle is divided into smaller rectangles [#permalink] New post   27 Nov 2020, 15:21
Pranjal3107 wrote:
Hi Can anyone explain the long side and short side ? Is it the length and breadth we're talking about here ?
Sorry for such a silly question.


Each smaller rectangle = length : width = 3 : 1

Each path represents a number of lengths and widths. If we're given the length of either path, we can then determine the perimeter of the larger rectangle.

Therefore each statement alone is sufficient.
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Re: In the figure above, a rectangle is divided into smaller rectangles [#permalink] New post   27 Nov 2020, 15:27
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I think GMAC realized the two statements above contradict each other; on the current question in GMAT Prep the diagram and statements are different:

________________

As shown above, a rectangle is divided into smaller rectangles of the same size and shape. What is the perimeter of the large rectangle?

(1) The length of the darkened path on the right is 36.
(2) The length of the darkened path on the left is 54.

Bunuel do you mind updating?
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Bunuel
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Re: In the figure above, a rectangle is divided into smaller rectangles [#permalink] New post   29 Nov 2020, 10:18
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basshead wrote:
I think GMAC realized the two statements above contradict each other; on the current question in GMAT Prep the diagram and statements are different:

________________

As shown above, a rectangle is divided into smaller rectangles of the same size and shape. What is the perimeter of the large rectangle?

(1) The length of the darkened path on the right is 36.
(2) The length of the darkened path on the left is 54.

Bunuel do you mind updating?


You are right. This is not a GMAT Prep question. This one is from Pearson. I posted GMAT Prep question here: https://gmatclub.com/forum/as-shown-abo ... 40512.html

Thank you!
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Re: In the figure above, a rectangle is divided into smaller rectangles [#permalink]
29 Nov 2020, 10:18
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