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

It is currently 13 Nov 2019, 07:16

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

What is the area of the figure above?

  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: 59017
What is the area of the figure above?  [#permalink]

Show Tags

New post 21 Aug 2019, 08:34
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

68% (01:59) correct 32% (01:53) wrong based on 64 sessions

HideShow timer Statistics

Senior Manager
Senior Manager
avatar
G
Joined: 25 Jul 2018
Posts: 338
Re: What is the area of the figure above?  [#permalink]

Show Tags

New post 21 Aug 2019, 10:08
2
Please, find the attached file.

We can continue the small sides (the length of the side =2) to get the square( the length of the side of square =10.

The area of the square =10*10=100

—> See the picture below.

Triangle ABC is right-angled isosceles triangle.
—> the area of ABC =(8*8)/2=32

—> the area of the figure = 100–32=68
The answer is C.

Posted from my mobile device
Attachments

FDAB4625-FA4B-4D52-B481-160642219A45.jpeg
FDAB4625-FA4B-4D52-B481-160642219A45.jpeg [ 869.06 KiB | Viewed 804 times ]

Director
Director
User avatar
P
Joined: 04 Sep 2015
Posts: 663
Location: India
WE: Information Technology (Computer Software)
Premium Member Reviews Badge
Re: What is the area of the figure above?  [#permalink]

Show Tags

New post 21 Aug 2019, 08:56
1
What is the area:

A. 402√402
B. 64
C. 68
D. 81
E. 92


draw line parallel from both ends and to the opposite side,

then we have a square at the top and two rectangles of dimentions 2*8

so the triangle we are left with 8,8 ,x this will form a 45-45-90 trianlge and rule x,x,xroot2

or we can also say that the area of the triangle =32

then the area of the two rectangles=2*8*2=32

and the square at the top=2*2=4

so total area=32+32+4=68

Option C is correct.
Attachments

triangle.jpg
triangle.jpg [ 9.75 KiB | Viewed 917 times ]

SVP
SVP
User avatar
P
Joined: 03 Jun 2019
Posts: 1837
Location: India
Premium Member Reviews Badge CAT Tests
Re: What is the area of the figure above?  [#permalink]

Show Tags

New post 21 Aug 2019, 08:59
1
What is the area of the figure above?

A. 40√2
B. 64
C. 68
D. 81
E. 92

If we divide the figure as
A triangle of area = 8*8/2 = 32
A rectangle with area = 10*2 = 20
A rectangle with area = 8*2 = 16

Adding 3 areas = 32 + 20 + 16 = 68

IMO C
_________________
"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
Manager
Manager
avatar
G
Joined: 08 Jan 2018
Posts: 145
Location: India
Concentration: Operations, General Management
WE: Project Management (Manufacturing)
Re: What is the area of the figure above?  [#permalink]

Show Tags

New post Updated on: 21 Aug 2019, 09:11
IMO-C

Refer attached Image.
Draw a line joining the vertices B & E

This divides the figure into an isosceles triangle & a trapezium.

From fig, Sides of parallel side of trapezium are 10 sqrt2 & (10 sqrt2 -2 sqrt2 ) and distance between them sqrt2

Area= 1/2 x (10 x 10) + 1/2 x (10 sqrt2 + 8sqrt2 ) x sqrt2 = 68
Attachments

WhatsApp Image 2019-08-21 at 9.29.01 PM.jpeg
WhatsApp Image 2019-08-21 at 9.29.01 PM.jpeg [ 76.63 KiB | Viewed 889 times ]


Originally posted by MayankSingh on 21 Aug 2019, 09:04.
Last edited by MayankSingh on 21 Aug 2019, 09:11, edited 1 time in total.
Senior Manager
Senior Manager
User avatar
P
Joined: 31 May 2018
Posts: 451
Location: United States
Concentration: Finance, Marketing
Re: What is the area of the figure above?  [#permalink]

Show Tags

New post 21 Aug 2019, 09:09
area of the given figure = area of a triangle ABE + area of a trapezium BCDE
= \(\frac{1}{2}\)*10*10 + \(\frac{1}{2}\)(10√2 +8√2 )√2

= 50 + 18
= 68
C is the answer
Attachments

ps.png
ps.png [ 7.88 KiB | Viewed 899 times ]

GMAT Club Legend
GMAT Club Legend
User avatar
D
Joined: 18 Aug 2017
Posts: 5261
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member CAT Tests
Re: What is the area of the figure above?  [#permalink]

Show Tags

New post 21 Aug 2019, 09:32
Image
What is the area of the figure above?

A. 402‾√402
B. 64
C. 68
D. 81
E. 92

divide the figure we get 2 rectangles; 10*2 + 8*2 ; 36
and an isosceles ∆ 8:8:8√2 ; area ; 1/2 * 8*8 ; 32
total area ; 36+ 32 ; 68
IMO C
Manager
Manager
avatar
G
Joined: 15 Jun 2019
Posts: 209
Re: What is the area of the figure above?  [#permalink]

Show Tags

New post 21 Aug 2019, 09:32
its area of square - area of right angled isoceles triangle of non hypotenuse side of 8

=10 ^2- 1/2 *8*8

=100- 32
=68
_________________
please do correct my mistakes that itself a big kudo for me,

thanks
Senior Manager
Senior Manager
User avatar
P
Status: Whatever it takes!
Joined: 10 Oct 2018
Posts: 383
GPA: 4
Re: What is the area of the figure above?  [#permalink]

Show Tags

New post 21 Aug 2019, 10:01
This is how I did. Hope it helps.

Posted from my mobile device
Attachments

IMG_20190821_223035.jpg
IMG_20190821_223035.jpg [ 2.83 MiB | Viewed 829 times ]

Senior Manager
Senior Manager
avatar
G
Joined: 07 Mar 2019
Posts: 374
Location: India
GMAT 1: 580 Q43 V27
WE: Sales (Energy and Utilities)
CAT Tests
Re: What is the area of the figure above?  [#permalink]

Show Tags

New post 21 Aug 2019, 10:47
What is the area of the figure above?

A. 402√402
B. 64
C. 68
D. 81
E. 92

Refer attached snapshot.

Alternative method is slightly longer.

Answer(C)
Attachments

File comment: What is the area of the figure above
What is the area of the figure above.jpg
What is the area of the figure above.jpg [ 1.08 MiB | Viewed 764 times ]


_________________
Ephemeral Epiphany..!

GMATPREP1 590(Q48,V23) March 6, 2019
GMATPREP2 610(Q44,V29) June 10, 2019
GMATPREPSoft1 680(Q48,V35) June 26, 2019
GMAT Tutor
User avatar
S
Joined: 17 Sep 2014
Posts: 217
Location: United States
GMAT 1: 780 Q51 V45
GRE 1: Q170 V167
Re: What is the area of the figure above?  [#permalink]

Show Tags

New post 21 Aug 2019, 11:34
See the image attached below,

We can complete a square since we have 3 angles of 90 degrees, and two sides that are equal. Then we can see the area is a square with length of 10, minus an isosceles right triangle with a side of 8. The triangle is isosceles because both sides are 8. The added outer angle must be 90 because a 4 sided polynomial must have all interior angles adding up to 360.
Therefore the area is 10*10 - 8*8/2 = 100 - 32 = 68.

Answer: C
Attachments

completed image.png
completed image.png [ 35.47 KiB | Viewed 723 times ]


_________________
Source: We are an NYC based, in-person and online GMAT tutoring and prep company. We are the only GMAT provider in the world to guarantee specific GMAT scores with our flat-fee tutoring packages, or to publish student score increase rates. Our typical new-to-GMAT student score increase rate is 3-9 points per tutoring hour, the fastest in the world. Feel free to reach out!
Intern
Intern
avatar
B
Joined: 24 Jul 2019
Posts: 2
Premium Member
Re: What is the area of the figure above?  [#permalink]

Show Tags

New post 21 Aug 2019, 11:39
The answer is 68.

Area of the figure = Area of the triangle formed by extending the sides with value 10 and 10 to form one big isosceles triangle - area of 2 small isosceles triangle which have one side as 2.

side of the smaller triangle: one side will be 2 and the hypotenuse = 2*sqrt2

Area of the smaller triangle = (1/2)*2*2 = 2

Side of bigger triangle: Base and height = 10+2=12, 12 and hypotenuse = 12*sqrt2
Area of the bigger triangle = (1/2)*12*12 = 72

Area of the figure = 72 - 2*2 = 68
Senior Manager
Senior Manager
avatar
P
Joined: 18 May 2019
Posts: 436
GMAT ToolKit User Premium Member CAT Tests
Re: What is the area of the figure above?  [#permalink]

Show Tags

New post 21 Aug 2019, 11:45
From the image below, triangle ABE is a right angled isosceles triangle. This means that EB=(10^2 + 10^2)^0.5 = 200^0.5 = 10(2)^0.5
Area of solid ABCDE = Area of Triangle ABE + Area of trapezoid EBCD.
Area of triangle ABE = (10*10)/2 = 50.

Angle AED (90) = angle AEB + angle DEF ....(1)
Since we know that triangle ABE is a right angled isosceles triangle, angle AEB = angle ABE = 45. Hence angle DEF=45, implying triangle EFD is a right angled isosceles triangle. This also means that EF=FD=(2)^0.5
Likewise GB=CG=(2)^0.5
Hence DC = EB-EF-GB = 8(2)^0.5
So, Area of EBCD=
{(10(2)^0.5 + 8(2)^0.5)*(2)^0.5}/2 ={(18)(2)/2}
=18
So Area of ABCDE = 50 + 18 = 68

Posted from my mobile device
Attachments

image.jpg
image.jpg [ 1.58 MiB | Viewed 666 times ]

Director
Director
avatar
P
Joined: 24 Nov 2016
Posts: 756
Location: United States
Re: What is the area of the figure above?  [#permalink]

Show Tags

New post 21 Aug 2019, 12:45
Quote:
What is the area of the figure above?

A. 40√2
B. 64
C. 68
D. 81
E. 92


shaded: area of square - area of triangle = 10*10 - (8*8/2) = 68
Director
Director
User avatar
P
Joined: 18 Dec 2017
Posts: 652
Location: United States (KS)
Re: What is the area of the figure above?  [#permalink]

Show Tags

New post 21 Aug 2019, 13:00
Just think of it as a square of 10*10 having area as 100.
A right triangle whose 2 sides are 8 and 8 is cut. Area of that triangle is 32.
100-32 is 68.
IMO C

Note : 1min 37sec. But could have solved way quicker if had i realized the shape :)
_________________
----The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long ----
Software Tester currently in USA ( ;-) )

All GMAT Ninja LIVE YouTube videos by topic
Senior Manager
Senior Manager
User avatar
G
Joined: 29 Jun 2019
Posts: 466
Re: What is the area of the figure above?  [#permalink]

Show Tags

New post 21 Aug 2019, 13:50
As we see in the figure, we could have a squire with sides 10.but the shape is not perfect.
So the area of the shape is less than 100=10*10.
In deed we got a triangle out of the shape whose area is 8*8/2=32
So,100-32=68
Option C

Posted from my mobile device
_________________
Always waiting
GMAT Club Bot
Re: What is the area of the figure above?   [#permalink] 21 Aug 2019, 13:50
Display posts from previous: Sort by

What is the area of the figure above?

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





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