GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 16 Oct 2019, 07:40 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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  Right triangle ABC and rectangle EFGH have the same perimeter. What is

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

Hide Tags

Math Expert V
Joined: 02 Sep 2009
Posts: 58377
Right triangle ABC and rectangle EFGH have the same perimeter. What is  [#permalink]

Show Tags 00:00

Difficulty:   15% (low)

Question Stats: 82% (00:28) correct 18% (01:34) wrong based on 31 sessions

HideShow timer Statistics Right triangle ABC and rectangle EFGH have the same perimeter. What is the value of x?

A. 2
B. 3
C. 4
D. 5
E. 6

Attachment: Capture (6).JPG [ 23.9 KiB | Viewed 395 times ]

_________________
GMAT Club Legend  D
Joined: 18 Aug 2017
Posts: 5005
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: Right triangle ABC and rectangle EFGH have the same perimeter. What is  [#permalink]

Show Tags

third side of triangle is 5 ; perimeter of triangle is 5+4+3= 12

so 2(2+x)=12
x= 4 IMO C

Bunuel wrote: Right triangle ABC and rectangle EFGH have the same perimeter. What is the value of x?

A. 2
B. 3
C. 4
D. 5
E. 6

Attachment:
Capture (6).JPG
e-GMAT Representative V
Joined: 04 Jan 2015
Posts: 3074
Right triangle ABC and rectangle EFGH have the same perimeter. What is  [#permalink]

Show Tags

Solution

Given:
ABC is a right-angled triangle
o Perpendicular sides, AB and AC = 3 and 4 respectively

• EFGH is a rectangle
o Breadth, EF = 2

• Perimeter of ABC = perimeter of EFGH

To find:
• The length of rectangle, x

Approach and Working:
$$BC = √(3^2 + 4^2) = √25 = 5$$
• Perimeter of triangle ABC = 3 + 4 + 5 = 12
• Perimeter of rectangle = 2 * (2 + x)

We are given that, 2 * (2 + x) = 12
• Thus, x = 6 – 2 = 4

Hence, the correct answer is Option C

_________________ Right triangle ABC and rectangle EFGH have the same perimeter. What is   [#permalink] 21 Dec 2018, 05:56
Display posts from previous: Sort by

Right triangle ABC and rectangle EFGH have the same perimeter. What is

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne  