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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 23 Jul 2018, 23:11
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A
B
C
D
E

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  25% (medium)

Question Stats:

75% (00:54) correct 25% (01:10) wrong based on 65 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
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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, 01:12

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, 01:31
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OA: E
Attachment:
Two Rectangles.PNG
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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, 09:28
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:
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Segments.JPG [ 17.31 KiB | Viewed 251 times ]

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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, 09:37
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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MERGED TOPICS.
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New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: In the figure above, two rectangles with the same dimensions overlap t &nbs [#permalink] 20 Dec 2018, 09:37
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