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

It is currently 22 Sep 2019, 03:53

Close

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
Your Progress

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.

Close

Request Expert Reply

Confirm Cancel

In the figure above, if the area of square region B is 4, what is the

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58095
In the figure above, if the area of square region B is 4, what is the  [#permalink]

Show Tags

New post 19 Aug 2019, 00:56
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

86% (00:51) correct 14% (01:06) wrong based on 29 sessions

HideShow timer Statistics

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58095
Re: In the figure above, if the area of square region B is 4, what is the  [#permalink]

Show Tags

New post 19 Aug 2019, 00:57
SVP
SVP
User avatar
P
Joined: 03 Jun 2019
Posts: 1540
Location: India
Premium Member Reviews Badge CAT Tests
Re: In the figure above, if the area of square region B is 4, what is the  [#permalink]

Show Tags

New post 19 Aug 2019, 04:20
Bunuel wrote:
Image
In the figure above, if the area of square region B is 4, what is the area of triangular region D?

(1) The area of square region C is 9.

(2) The area of square region A is 13.


Attachment:
image680.png


Given: In the figure above, the area of square region B is 4.

Asked: What is the area of triangular region D?

Area of triangular region D = \(\frac{1}{2}\) * side of square region B * side of square region C
= \(\frac{1}{2}\) * 2 * side of square region C = side of square region C

(1) The area of square region C is 9.
Side of square region C = 3
SUFFICIENT

(2) The area of square region A is 13.
13 = 2^2 + x^2
x = 3 = Side of square region C
SUFFICIENT

IMO D
_________________
"Success is not final; failure is not fatal: It is the courage to continue that counts."

Please provide kudos if you like my post. Kudos encourage active discussions.

My GMAT Resources: -

Efficient Learning
All you need to know about GMAT quant

Tele: +91-11-40396815
Mobile : +91-9910661622
E-mail : kinshook.chaturvedi@gmail.com
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58095
Re: In the figure above, if the area of square region B is 4, what is the  [#permalink]

Show Tags

New post 18 Sep 2019, 01:22
Bunuel wrote:
Image
In the figure above, if the area of square region B is 4, what is the area of triangular region D?

(1) The area of square region C is 9.

(2) The area of square region A is 13.


Attachment:
image680.png


Official Explanation



In this figure, we appear have three squares and a right triangle, although the question itself prior to the data statements only identifies B as a square. We want the area of triangle D, so we will need a valid base-height pair. But since D is a right triangle, we can find the length of any third side given the other two sides, with the Pythagorean Theorem. Therefore, any two lengths along the triangle will be sufficient. And since the area of square B is 4, we have a length of 2 on that side. We need only one more length of the triangle for sufficiency.

Statement (1) tells us another side of the triangle (it's 3), so it is sufficient.

Statement (2) also tells us another side of the triangle (it's \(\sqrt{13}\), so it is sufficient. The correct answer is (D).

By the way, if this figure looks familiar to you from your early education, you may have seen it as part of a proof of the Pythagorean Theorem. Keep in mind, however, that trigonometry (that is, sines, cosines, tangents, and so on) are not tested on the GMAT. Of special note on the GMAT is that the distance formula in the coordinate plane is essentially an application of the Pythagorean Theorem, and that fact will come up on some questions.

Again, the correct answer is (D).
_________________
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58095
Re: In the figure above, if the area of square region B is 4, what is the  [#permalink]

Show Tags

New post 18 Sep 2019, 01:23
1
GMAT Club Bot
Re: In the figure above, if the area of square region B is 4, what is the   [#permalink] 18 Sep 2019, 01:23
Display posts from previous: Sort by

In the figure above, if the area of square region B is 4, what is the

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





cron

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