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

 It is currently 13 Oct 2019, 18:02 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.  Julian takes a 10-inch by 10-inch square piece of paper and cuts it in

 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: 58335
Julian takes a 10-inch by 10-inch square piece of paper and cuts it in  [#permalink]

Show Tags 00:00

Difficulty:   15% (low)

Question Stats: 88% (01:40) correct 12% (02:11) wrong based on 57 sessions

HideShow timer Statistics Julian takes a 10-inch by 10-inch square piece of paper and cuts it in half along the diagonal. He then takes one of the halves and cuts it in half again from the corner to the midpoint of the opposite side. All cuts are represented in the figure with dotted lines. What is the perimeter of one of the smallest triangles, in inches?

(A) $$10$$

(B) $$10\sqrt{2}$$

(C) $$20$$

(D) $$10 +10\sqrt{2}$$

(E) $$10 +20\sqrt{2}$$

Attachment: Capture.JPG [ 14.55 KiB | Viewed 621 times ]

_________________
VP  D
Joined: 31 Oct 2013
Posts: 1475
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Julian takes a 10-inch by 10-inch square piece of paper and cuts it in  [#permalink]

Show Tags

Bunuel wrote: Julian takes a 10-inch by 10-inch square piece of paper and cuts it in half along the diagonal. He then takes one of the halves and cuts it in half again from the corner to the midpoint of the opposite side. All cuts are represented in the figure with dotted lines. What is the perimeter of one of the smallest triangles, in inches?

(A) $$10$$

(B) $$10\sqrt{2}$$

(C) $$20$$

(D) $$10 +10\sqrt{2}$$

(E) $$10 +20\sqrt{2}$$

Attachment:
Capture.JPG

$$c^2 = 10^2 + 10^2 = 200$$

c = $$\sqrt{200}$$ = 10$$\sqrt{2}$$

Half of the hypotenuse is basically the height and base of the triangle .

10$$\sqrt{2}$$/2 = 5$$\sqrt{2}$$.

Perimeter = 5$$\sqrt{2}$$ + 5$$\sqrt{2}$$ + 10 = 2 * 5$$\sqrt{2}$$ + 10

= 10$$\sqrt{2}$$+ 10

The best answer is D.
Board of Directors D
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4753
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
Re: Julian takes a 10-inch by 10-inch square piece of paper and cuts it in  [#permalink]

Show Tags

Bunuel wrote: Julian takes a 10-inch by 10-inch square piece of paper and cuts it in half along the diagonal. He then takes one of the halves and cuts it in half again from the corner to the midpoint of the opposite side. All cuts are represented in the figure with dotted lines. What is the perimeter of one of the smallest triangles, in inches?

(A) $$10$$

(B) $$10\sqrt{2}$$

(C) $$20$$

(D) $$10 +10\sqrt{2}$$

(E) $$10 +20\sqrt{2}$$

Attachment:
Capture.JPG

Area of a square = Area of 2 Triangles

So, $$10*10 = 2t$$

Or, $$t = 50$$

Diagonal of the Square is $$10\sqrt{2}$$

Now, The small tirangle has sides 1/2 of a Diagonal and the oher side as the side of a square...

So, Perimeter must be $$5\sqrt{2} + 5\sqrt{2} + 10$$ = $$10 +10\sqrt{2}$$ ; Answer must be (D)
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
Manager  P
Joined: 13 Jun 2012
Posts: 199
Location: United States
WE: Supply Chain Management (Computer Hardware)
Re: Julian takes a 10-inch by 10-inch square piece of paper and cuts it in  [#permalink]

Show Tags

1
Bunuel wrote: Julian takes a 10-inch by 10-inch square piece of paper and cuts it in half along the diagonal. He then takes one of the halves and cuts it in half again from the corner to the midpoint of the opposite side. All cuts are represented in the figure with dotted lines. What is the perimeter of one of the smallest triangles, in inches?

(A) $$10$$

(B) $$10\sqrt{2}$$

(C) $$20$$

(D) $$10 +10\sqrt{2}$$

(E) $$10 +20\sqrt{2}$$

Attachment:
Capture.JPG

Diameter of a square S√2= 10√2
Since we have to take half of the diameter for 2 of the triangle side we have 10√2/2= 5√2
perimeter - 5√2+5√2+10 or 10+10√2 Re: Julian takes a 10-inch by 10-inch square piece of paper and cuts it in   [#permalink] 11 Oct 2018, 13:20
Display posts from previous: Sort by

Julian takes a 10-inch by 10-inch square piece of paper and cuts it in

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

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