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

 It is currently 15 Jul 2018, 16:20

### 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

# If the length of a certain rectangle is 2 greater than the width of

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 46991
If the length of a certain rectangle is 2 greater than the width of [#permalink]

### Show Tags

19 Nov 2017, 09:20
00:00

Difficulty:

35% (medium)

Question Stats:

74% (00:56) correct 26% (01:02) wrong based on 39 sessions

### HideShow timer Statistics

If the length of a certain rectangle is 2 greater than the width of the rectangle, what is the perimeter of the rectangle?

(1) The length of each diagonal of the rectangle is 10.

(2) The area of the rectangular region is 48.

_________________
PS Forum Moderator
Joined: 25 Feb 2013
Posts: 1180
Location: India
GPA: 3.82
If the length of a certain rectangle is 2 greater than the width of [#permalink]

### Show Tags

19 Nov 2017, 09:33
1
Bunuel wrote:
If the length of a certain rectangle is 2 greater than the width of the rectangle, what is the perimeter of the rectangle?

(1) The length of each diagonal of the rectangle is 10.

(2) The area of the rectangular region is 48.

let the width be $$x$$, so length will be $$x+2$$

hence perimeter $$= 2[x+x+2] = 2(2x+2)$$. we need the value of $$x$$ to determine the perimeter

Statement 1: implies $$\sqrt{length^2+width^2}=diagonal$$

$$\sqrt{x^2+(x+2)^2}=10$$

or $$x^2+x^2+4x+4=100 => x^2+2x-48=0$$

so $$(x-6)(x+8)=0$$, hence $$x=6$$ or $$-8$$

As width cannot be negative so $$x=6$$. Sufficient

Statement 2: $$x(x+2)=48 => x^2+2x-48=0$$

Same as statement 1 above. we get $$x=6$$. Sufficient

Option D
If the length of a certain rectangle is 2 greater than the width of   [#permalink] 19 Nov 2017, 09:33
Display posts from previous: Sort by

# Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.