Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 23 May 2017, 22:15

### 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

# Square ABCD has an area of 9 square inches. Sides AD and BC

Author Message
TAGS:

### Hide Tags

Manager
Joined: 02 Nov 2009
Posts: 136
Followers: 3

Kudos [?]: 188 [0], given: 97

Square ABCD has an area of 9 square inches. Sides AD and BC [#permalink]

### Show Tags

31 Jul 2012, 20:11
1
This post was
BOOKMARKED
00:00

Difficulty:

15% (low)

Question Stats:

77% (02:12) correct 23% (01:06) wrong based on 181 sessions

### HideShow timer Statistics

Square ABCD has an area of 9 square inches. Sides AD and BC are lengthened to x inches each. By how many inches were sides AD and BC lengthened?
Attachment:

Square.png [ 5.13 KiB | Viewed 4237 times ]

(1) The diagonal of the resulting rectangle measures 5 inches.
(2) The resulting rectangle can be cut into three rectangles of equal size.

Can anyone help me vvith B please .. Ive got A right
[Reveal] Spoiler: OA

Last edited by Bunuel on 01 Aug 2012, 03:47, edited 1 time in total.
Manager
Joined: 22 Jun 2012
Posts: 53
GMAT 1: 730 Q49 V40
Followers: 2

Kudos [?]: 19 [0], given: 6

Re: Square ABCD has an area of 9 square inches. [#permalink]

### Show Tags

31 Jul 2012, 23:01
Edit: never mind I thought it was a rectangle instead of a square, deleted my post to avoid confusion, I keep my explanation of statement 2 since it is mentioned by someone else below.

2) Any rectangle can be divided into 3 rectangles of equal size, insufficient

Last edited by duriangris on 01 Aug 2012, 00:40, edited 1 time in total.
Director
Joined: 22 Mar 2011
Posts: 612
WE: Science (Education)
Followers: 101

Kudos [?]: 947 [1] , given: 43

Re: Square ABCD has an area of 9 square inches. [#permalink]

### Show Tags

31 Jul 2012, 23:50
1
KUDOS
(1) Given that the area of the square is 9, then each side of the square is 3.
The lengthened sides will be of length 3 + x each, and the diagonal of the obtained rectangle being 5,
we can write $$(x+3)^2+3^2=5^2$$, from which $$(x+3)^2=16$$, so $$x = 1$$.
Sufficient.

(2) Obviously, not sufficient, as was already mentioned by "duriangris" in the previous post.

_________________

PhD in Applied Mathematics
Love GMAT Quant questions and running.

Manager
Joined: 22 Jun 2012
Posts: 53
GMAT 1: 730 Q49 V40
Followers: 2

Kudos [?]: 19 [0], given: 6

Re: Square ABCD has an area of 9 square inches. [#permalink]

### Show Tags

01 Aug 2012, 00:38
EvaJager wrote:
(1) Given that the area of the square is 9, then each side of the square is 3.
The lengthened sides will be of length 3 + x each, and the diagonal of the obtained rectangle being 5,
we can write $$(x+3)^2+3^2=5^2$$, from which $$(x+3)^2=16$$, so $$x = 1$$.
Sufficient.

(2) Obviously, not sufficient, as was already mentioned by "duriangris" in the previous post.

Gosh! it was a square not a rectangle!!
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15412
Followers: 648

Kudos [?]: 206 [0], given: 0

Re: Square ABCD has an area of 9 square inches. Sides AD and BC [#permalink]

### Show Tags

07 Jan 2016, 21:04
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Director
Joined: 05 Mar 2015
Posts: 905
Followers: 9

Kudos [?]: 198 [0], given: 40

Re: Square ABCD has an area of 9 square inches. Sides AD and BC [#permalink]

### Show Tags

30 Jul 2016, 11:34
venmic wrote:
Square ABCD has an area of 9 square inches. Sides AD and BC are lengthened to x inches each. By how many inches were sides AD and BC lengthened?
Attachment:
Square.png

(1) The diagonal of the resulting rectangle measures 5 inches.
(2) The resulting rectangle can be cut into three rectangles of equal size.

Can anyone help me vvith B please .. Ive got A right

(1)-let side will be stretched x inches then side BC=3+x
so by pythagoras theorem
(3+x)^2+3^2=5^2
thus we can find x
suff...
(2) let BC be extended 6 inches then we have identical three 3*3 sized rectangle
But if BC extended 12 inches then also we get identical three 3*5 sized rectangle

insuff..
Ans A
Senior Manager
Joined: 26 Oct 2016
Posts: 460
Location: United States
Schools: HBS '19
GMAT 1: 770 Q51 V44
GPA: 4
WE: Education (Education)
Followers: 25

Kudos [?]: 62 [0], given: 823

Re: Square ABCD has an area of 9 square inches. Sides AD and BC [#permalink]

### Show Tags

31 Dec 2016, 03:42
If the square has an area of 9 square inches, it must have sides of 3 inches each. Therefore, sides AD and BC have lengths of 3 inches each. These sides are lengthened to x inches, while the other two remain at 3 inches. This gives us a rectangle with two opposite sides of length x and two opposite sides of length 3. Then we are asked by how much the two lengthened sides were extended. In other words, what is the value of x – 3? In order to answer this, we need to find the value of x itself.

(1) SUFFICIENT: If the resulting rectangle has a diagonal of 5 inches, we end up with the following:
We can now see that we have a 3-4-5 right triangle, since we have a leg of 3 and a hypotenuse (the diagonal) of 5. The missing leg (in this case, x) must equal 4. Therefore, the two sides were each extended by 4 – 3 = 1 inch.

(2) INSUFFICIENT: It will be possible, no matter what the value of x, to divide the resulting rectangle into three smaller rectangles of equal size. For example, if x = 4, then the area of the rectangle is 12 and we can have three rectangles with an area of 4 each. If x = 5, then the area of the rectangle is 15 and we can have three rectangles with an area of 5 each. So it is not possible to know the value of x from this statement.
Attachments

snip.PNG [ 6.26 KiB | Viewed 410 times ]

_________________

Thanks & Regards,
Anaira Mitch

Re: Square ABCD has an area of 9 square inches. Sides AD and BC   [#permalink] 31 Dec 2016, 03:42
Similar topics Replies Last post
Similar
Topics:
1 Square G has sides of length 4 inches. Is the area of Square H exactly 2 26 Feb 2017, 08:18
2 What is the area of square ABCD? 6 21 Feb 2017, 23:07
20 Figure ABCD is a square with sides of length x. Arcs AB, AD, 1 02 Aug 2014, 15:39
6 What is the area of square ABCD ? 5 27 Jun 2016, 09:38
13 In the quadrilateral ABCD, side AD is parallel to side BC. 14 03 Nov 2016, 11:54
Display posts from previous: Sort by