It is currently 12 Dec 2017, 12:08

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

In the figure above, two rectangular regions overlap. If the area of

Author Message
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 42571

Kudos [?]: 135380 [0], given: 12691

In the figure above, two rectangular regions overlap. If the area of [#permalink]

Show Tags

12 Nov 2017, 09:19
Expert's post
2
This post was
BOOKMARKED
00:00

Difficulty:

(N/A)

Question Stats:

35% (02:19) correct 65% (01:27) wrong based on 19 sessions

HideShow timer Statistics

In the figure above, two rectangular regions overlap. If the area of region ABCD is 20, what is the perimeter of the shaded region?

(A) 22 – √17
(B) 31 – 2√5
(C) 31 – √17
(D) 28
(E) 31

[Reveal] Spoiler:
Attachment:

2017-11-12_2102_001.png [ 10.5 KiB | Viewed 239 times ]
[Reveal] Spoiler: OA

_________________

Kudos [?]: 135380 [0], given: 12691

BSchool Forum Moderator
Joined: 26 Feb 2016
Posts: 1691

Kudos [?]: 745 [2], given: 19

Location: India
WE: Sales (Retail)
In the figure above, two rectangular regions overlap. If the area of [#permalink]

Show Tags

12 Nov 2017, 12:02
2
KUDOS
Attachment:

2017-11-12_2102_001.png [ 13.17 KiB | Viewed 171 times ]

The second rectangle which overlaps the rectangle ABCD is PQST

The triangle EFG so formed is right angled at F,
which will have a hypotenuse = $$\sqrt{1+4^2}$$ or $$\sqrt{17}$$

Perimeter of the shaded region = PQ+QS+ST+GD+CD+CE+PT-hypotenuse =$$4+7+4+3+2+4+7-\sqrt{17}$$

Therefore, the perimeter of the shaded portion is $$31-\sqrt{17}$$(Option C)
_________________

Stay hungry, Stay foolish

Kudos [?]: 745 [2], given: 19

In the figure above, two rectangular regions overlap. If the area of   [#permalink] 12 Nov 2017, 12:02
Display posts from previous: Sort by