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# In the figure above, two rectangles with the same dimensions overlap t

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Math Expert
Joined: 02 Sep 2009
Posts: 58340
In the figure above, two rectangles with the same dimensions overlap t  [#permalink]

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24 Jul 2018, 00:11
00:00

Difficulty:

15% (low)

Question Stats:

78% (01:18) correct 22% (01:41) wrong based on 124 sessions

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In the figure above, two rectangles with the same dimensions overlap to form the shaded region. If each rectangle has perimeter 12 and the shaded region has perimeter 3, what is the perimeter of the resulting figure?

(A) 15
(B) 18
(C) 21
(D) 22
(E) 23

Attachment:

Untitled.png [ 1.2 KiB | Viewed 1239 times ]

Project PS Butler : Question #89

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Re: In the figure above, two rectangles with the same dimensions overlap t  [#permalink]

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24 Jul 2018, 02:12

Solution

Given:
• Two rectangles are given with same dimensions
• They overlap to form the shaded region (shown in the figure)
• Each rectangle has perimeter 12
• Shaded region has perimeter 3

To find:
• Perimeter of the resulting figure

Approach and Working:
• Perimeter of the resulting figure =
Perimeter of rectangle 1 + perimeter of rectangle 2 – perimeter of the shaded region
= 12 + 12 – 3 = 21

Hence, the correct answer is option C.

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Re: In the figure above, two rectangles with the same dimensions overlap t  [#permalink]

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24 Jul 2018, 02:31
1
OA: E
Attachment:

Two Rectangles.PNG [ 31.12 KiB | Viewed 1131 times ]

Permieter of resulting shape : Sum of Perimeter of 2 Rectangles - Perimeter of Triangle
:$$2*12-3 =24-3=21$$
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Re: In the figure above, two rectangles with the same dimensions overlap t  [#permalink]

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20 Dec 2018, 10:28

In the figure above, two rectangles with the same dimensions overlap to form the shaded region. If each rectangle has perimeter 12 and the shaded region has perimeter 3, what is the total length of the heavy line segments?

(A) 15
(B) 18
(C) 21
(D) 22
(E) 23

Project PS Butler : Question #89

Attachment:

Segments.JPG [ 17.31 KiB | Viewed 819 times ]

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Math Expert
Joined: 02 Sep 2009
Posts: 58340
Re: In the figure above, two rectangles with the same dimensions overlap t  [#permalink]

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20 Dec 2018, 10:37
HKD1710 wrote:

In the figure above, two rectangles with the same dimensions overlap to form the shaded region. If each rectangle has perimeter 12 and the shaded region has perimeter 3, what is the total length of the heavy line segments?

(A) 15
(B) 18
(C) 21
(D) 22
(E) 23

Project PS Butler : Question #89

Attachment:
Segments.JPG

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Re: In the figure above, two rectangles with the same dimensions overlap t   [#permalink] 20 Dec 2018, 10:37
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