GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 26 Jan 2020, 06:54

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 side of the smallest square is 1 and the side of the largest sq

Author Message
TAGS:

Hide Tags

Senior Manager
Joined: 13 Jan 2018
Posts: 341
Location: India
Concentration: Operations, General Management
GMAT 1: 580 Q47 V23
GMAT 2: 640 Q49 V27
GPA: 4
WE: Consulting (Consulting)
If the side of the smallest square is 1 and the side of the largest sq  [#permalink]

Show Tags

31 Oct 2018, 09:21
2
00:00

Difficulty:

75% (hard)

Question Stats:

42% (02:16) correct 58% (02:14) wrong based on 40 sessions

HideShow timer Statistics

Attachment:

image.jpg [ 38.61 KiB | Viewed 872 times ]

If the side of the smallest square is 1 and the side of the largest square is 2, then what is the area of the triangle shown in the figure above?

A. $$\sqrt{2}$$
B. $$2\sqrt{2}$$
C. $$2$$
D. $$4$$
E. $$8$$
CEO
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 3049
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Re: If the side of the smallest square is 1 and the side of the largest sq  [#permalink]

Show Tags

31 Oct 2018, 09:27
1
eswarchethu135 wrote:
Attachment:
image.jpg

If the side of the smallest square is 1 and the side of the largest square is 2, then what is the area of the triangle shown in the figure above?

A. $$\sqrt{2}$$
B. $$2\sqrt{2}$$
C. $$2$$
D. $$4$$
E. $$8$$

It's a WRONG question as the information is not sufficient.

The information about the quadrilateral which is Neither smallest nor the biggest is missing. Calling that square would have solved the question this way

base of teh triangle is Diagonal of Square with side 1 i.e. $$√2$$

Height of the traingle is the distance between the diagonal of small square and diagonal of leftmost square = Diagonal of the square with side 2 (because both diagonals are parallel) = $$2√2$$

Area of the triangle = (!/2)*Base*Height $$= (1/2)*(√2)*√(2√2) = 2$$

_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
Senior Manager
Joined: 13 Jan 2018
Posts: 341
Location: India
Concentration: Operations, General Management
GMAT 1: 580 Q47 V23
GMAT 2: 640 Q49 V27
GPA: 4
WE: Consulting (Consulting)
Re: If the side of the smallest square is 1 and the side of the largest sq  [#permalink]

Show Tags

31 Oct 2018, 09:34
Hi GMATinsight

I have solution for this. Will post it in a while. However, you have got the solution for this. then how can the question be wrong?
CEO
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 3049
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Re: If the side of the smallest square is 1 and the side of the largest sq  [#permalink]

Show Tags

31 Oct 2018, 09:43
eswarchethu135 wrote:
Hi GMATinsight

I have solution for this. Will post it in a while. However, you have got the solution for this. then how can the question be wrong?

SOlution is already mentioned in my post above.

I was only mentioning that the question should have specified that every quadrilateral is a square here. ALso, it would have been better to name the vertices and quadrilaterals while giving their references.
_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
Senior Manager
Joined: 13 Jan 2018
Posts: 341
Location: India
Concentration: Operations, General Management
GMAT 1: 580 Q47 V23
GMAT 2: 640 Q49 V27
GPA: 4
WE: Consulting (Consulting)
Re: If the side of the smallest square is 1 and the side of the largest sq  [#permalink]

Show Tags

31 Oct 2018, 10:11
Attachment:

image.jpg [ 40.94 KiB | Viewed 797 times ]

If the image is rotated a bit, the triangle will be in this position. Now the triangle base is diagonal of smaller square and height is diagonal of the larger square.

Base = $$\sqrt{2}$$

Height = $$2\sqrt{2}$$

Area of triangle = $$\frac{1}{2} * \sqrt{2} * 2\sqrt{2}$$

= 2

OPTION : C
Intern
Status: never give up on yourself
Joined: 14 Apr 2018
Posts: 6
WE: Corporate Finance (Accounting)
Re: If the side of the smallest square is 1 and the side of the largest sq  [#permalink]

Show Tags

02 Nov 2018, 10:43
GMATinsight wrote:
eswarchethu135 wrote:
Attachment:
image.jpg

If the side of the smallest square is 1 and the side of the largest square is 2, then what is the area of the triangle shown in the figure above?

A. $$\sqrt{2}$$
B. $$2\sqrt{2}$$
C. $$2$$
D. $$4$$
E. $$8$$

It's a WRONG question as the information is not sufficient.

The information about the quadrilateral which is Neither smallest nor the biggest is missing. Calling that square would have solved the question this way

base of teh triangle is Diagonal of Square with side 1 i.e. $$√2$$

Height of the traingle is the distance between the diagonal of small square and diagonal of leftmost square = Diagonal of the square with side 2 (because both diagonals are parallel) = $$2√2$$

Area of the triangle = (!/2)*Base*Height $$= (1/2)*(√2)*√(2√2) = 2$$

can you please elaborate the reasoning behind your statement . thank you
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 10011
Location: Pune, India
Re: If the side of the smallest square is 1 and the side of the largest sq  [#permalink]

Show Tags

03 Nov 2018, 03:26
Note that the question mentions largest and smallest squares which makes us assume that the leftmost quadrilateral should be a square too but it should be explicitly mentioned.

Assume that the figure lies on the co-ordinate axis as shown.
The base of the required triangle lies on a line which is 45 degrees to the y axis (the red line)
The third vertex of the triangle lies on the dotted line which is also 45 degrees to the y axis. Hence these two lines are parallel and vertical distance between them will always be the same (the green lines)
No matter what the actual size of the leftmost square (as shown by three different squares), the altitude of the triangle will be the green line only.
Attachment:

Graph1.jpeg [ 34.56 KiB | Viewed 592 times ]

Base of the triangle is the diagonal of the square of side 1. So the length of the diagonal is $$\sqrt{2}$$
Altitude of the triangle is the diagonal of teh square of side 2. So the length of the diagonal is $$2\sqrt{2}$$

Area of triangle = $$(1/2)*\sqrt{2}*2*\sqrt{2} = 2$$
_________________
Karishma
Veritas Prep GMAT Instructor

Re: If the side of the smallest square is 1 and the side of the largest sq   [#permalink] 03 Nov 2018, 03:26
Display posts from previous: Sort by