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

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

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New post 24 Jul 2018, 00:11
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A
B
C
D
E

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

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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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New post 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.

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

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New post 24 Jul 2018, 02:31
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OA: E
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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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New post 20 Dec 2018, 10:28
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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 total length of the heavy line segments?

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

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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New post 20 Dec 2018, 10:37
HKD1710 wrote:
Image

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


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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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