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As shown above, a rectangle is divided into smaller rectangles of the
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Bunuel
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As shown above, a rectangle is divided into smaller rectangles of the [#permalink] New post  29 Nov 2020, 09:15
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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.

DS21216

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Re: As shown above, a rectangle is divided into smaller rectangles of the [#permalink] New post  29 Nov 2020, 12:27
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Bunuel wrote:
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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.

DS21216

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21216.png


A rectangle has two variables to consider, length and width. However, from the graph we can tell 2*Width = 1*Length. Thus the rectangle can be defined by one variable of width, and the length is two times width.

Statement 1:

We can count how many lengths and widths we need to add up but ultimately it will be some multiple of width = 36, thus we can solve for width and then the length. Sufficient.

Statement 2:

Same as above, sufficient.

Ans: D
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Neilahmed
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Re: As shown above, a rectangle is divided into smaller rectangles of the [#permalink] New post  18 Dec 2020, 03:06
Hey,
Can anyone explain in a simplified manner? I still don't understand how can we determine the width and length?

Thanks.
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