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705-805 (Hard)|   Geometry|      
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Bunuel
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As shown above, a rectangle is divided into smaller rectangles of the 29 Nov 2020, 10:15
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45% (01:52) correct 55% (02:34) wrong based on 572 sessions

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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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D
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As shown above, a rectangle is divided into smaller rectangles of the 29 Nov 2020, 13:27
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Bunuel

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

Show Spoiler
Attachment:
21216.png
Show more

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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As shown above, a rectangle is divided into smaller rectangles of the 18 Dec 2020, 04:06
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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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As shown above, a rectangle is divided into smaller rectangles of the 27 May 2021, 02:46
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Bunuel

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

Show Spoiler
Attachment:
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
Show more

Bunuel,

How can we infer from the graph that 2*Width = 1*Length ? I considered length = x and width = y. So, the perimeter of the larger rectangle = 6(2x + y).

From (1), we get 3(x + 2y) = 36 and from (2), we get 2(2x + 5y) = 54 => we get values of x and y; thus, both statements together sufficient.

Pl. expln.
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As shown above, a rectangle is divided into smaller rectangles of the 27 May 2021, 02:55
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jack0997
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Bunuel

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

Show Spoiler
Attachment:
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

Bunuel,

How can we infer from the graph that 2*Width = 1*Length ? I considered length = x and width = y. So, the perimeter of the larger rectangle = 6(2x + y).

From (1), we get 3(x + 2y) = 36 and from (2), we get 2(2x + 5y) = 54 => we get values of x and y; thus, both statements together sufficient.

Pl. expln.
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Look at the image. Notice that the length of 4 rectangles equals to the width of 8 rectangles. So, length = 2*width
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As shown above, a rectangle is divided into smaller rectangles of the 13 Sep 2021, 22:32
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length =x and width = y and if we carefully observe x =2y. so if we know x or y then sufficient to find perimeter of r large rectangle.

large rectangle perimeter = 12x +6y = 12x or 24y
1. length of darkened path on the right -3x+6y =>6x =>6x= 36 =>x=6=>12x =>72=> SUFFICIENT
2.length of darkened path on the left-4x+10y =9x= 54=> x=6=> 12x=>72= SUFFICIENT
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As shown above, a rectangle is divided into smaller rectangles of the 25 Jul 2022, 08:07
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Look at the picture
Attachment:
fig.png
fig.png [ 368.1 KiB | Viewed 5424 times ]

from each statement you can get the wide of the tile, and from it the perimeter od the figure.

D
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As shown above, a rectangle is divided into smaller rectangles of the 25 Oct 2023, 11:50
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