NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 19:23 It is currently 26 Apr 2024, 19:23
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

A flat patio was built alongside a house as shown in the figure above.

SORT BY:
Date
Kudos
Tags:
Difficulty: Sub 505 Levelx   Geometryx                           
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92948
Own Kudos [?]: 619249 [33]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
A flat patio was built alongside a house as shown in the figure above. [#permalink] New post   14 Oct 2015, 21:35
7
Kudos
26
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

91% (01:17) correct 9% (01:45) wrong based on 2930 sessions
Hide Show timer Statistics

A flat patio was built alongside a house as shown in the figure above. If all angles shown are right angles, what is the area of the patio in square feet?

(A) 800
(B) 875
(C) 1,000
(D) 1,100
(E) 1,125

(PS05554)

Show Spoiler
Attachment:
2015-10-15_0834.png
2015-10-15_0834.png [ 6.66 KiB | Viewed 40256 times ]
ShowHide Answer
Official Answer
C
Most Helpful Reply
User avatar
L
GMATinsight
GMAT Club Legend
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 5962
Own Kudos [?]: 13391 [17]
Given Kudos: 124
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Send PM
Reviews Badge
Re: A flat patio was built alongside a house as shown in the figure above. [#permalink] New post   14 Oct 2015, 22:21
13
Kudos
4
Bookmarks
Expert Reply
Bunuel wrote:

A flat patio was built alongside a house as shown in the figure above. If all angles shown are right angles, what is the area of the patio in square feet?

(A) 800
(B) 875
(C) 1,000
(D) 1,100
(E) 1,125

Kudos for a correct solution.

Show Spoiler
Attachment:
The attachment 2015-10-15_0834.png is no longer available



CHeck teh explanation in figure where the area of Patio has been divided into two rectangles
one of Dimension 35X20
Other of Dimension 15X20

Answer: option C
Attachments

File comment: www.GMATinsight.com
Untitled11.jpg
Untitled11.jpg [ 43.7 KiB | Viewed 37716 times ]

User avatar
L
Skywalker18
Verbal Forum Moderator
Joined: 08 Dec 2013
Status:Greatness begins beyond your comfort zone
Posts: 2100
Own Kudos [?]: 8811 [7]
Given Kudos: 171
Location: India
Concentration: General Management, Strategy
GPA: 3.2
WE:Information Technology (Consulting)
Send PM
GMAT ToolKit User Reviews Badge
Re: A flat patio was built alongside a house as shown in the figure above. [#permalink] New post   14 Oct 2015, 21:59
5
Kudos
2
Bookmarks
Area of Patio = area of uncovered part of rectangle
= 40x35 - 20x20= 1000 square feet
Answer C
General Discussion
User avatar
L
MathRevolution
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 10161
Own Kudos [?]: 16600 [4]
Given Kudos: 4
GMAT 1: 760 Q51 V42
GPA: 3.82
Send PM
Re: A flat patio was built alongside a house as shown in the figure above. [#permalink] New post   15 Oct 2015, 00:51
2
Kudos
1
Bookmarks
Expert Reply
Forget conventional ways of solving math questions. In PS, IVY approach is the easiest and quickest way to find the answer.




A flat patio was built alongside a house as shown in the figure above. If all angles shown are right angles, what is the area of the patio in square feet?
(A) 800
(B) 875
(C) 1,000
(D) 1,100
(E) 1,125



Let the width of the overlapped rectangle be x feet and the length be y feet.
Then x= 40-20= 20 feet, y= 35-15 = 20 feet.
So the area of the overlapped rectangle is 400= 20 * 20 square feet.
The area of patio is, therefore, 40*35 – 400 = 1400-400 = 1000 square feet.
The answer is (C).
avatar
L
TheUltimateWinner
CEO
CEO
Joined: 23 Feb 2015
Posts: 2519
Own Kudos [?]: 2096 [4]
Given Kudos: 1976
Concentration: Finance, Technology
Schools: Harvard '24 Judge '23 LBS '24 McCombs '24 Mendoza Tepper '24 Ross '24 Cox Marshall '24 Fisher Kelley '24 Jones McDonough '24 Owen '24 Terry BU Simon '24 Katz GWU Mason Babson Gabelli Foster '24 Goizueta '24 Scheller Stern '23 CBS '23 Booth '23 Haas '25 Wharton '25 Stanford '26 Johnson'23 Fuqua '23 Kellogg '23 Kenan-Flagler'23 INSEAD Aug 22 intake Olin '23 Said '23 Sloan '23 Carey Arizona "22 Yale '23 UC Davis Madison '23 Anderson '23 Carroll Carlson '23 Darden '23
Send PM
GMAT ToolKit User CAT Tests
Re: A flat patio was built alongside a house as shown in the figure above. [#permalink] New post   17 Nov 2016, 09:20
3
Kudos
1
Bookmarks
Bunuel wrote:

A flat patio was built alongside a house as shown in the figure above. If all angles shown are right angles, what is the area of the patio in square feet?

(A) 800
(B) 875
(C) 1,000
(D) 1,100
(E) 1,125

Kudos for a correct solution.

Show Spoiler
Attachment:
2015-10-15_0834.png

Total area of patio, 40*35=1400
Overlap part:
40-20=20
35-15=20
So, 20*20=400
So, the area of patio after removing house part=1400-400=1100.
So, the correct answer is D
User avatar
L
vikasp99
Senior Manager
Senior Manager
Joined: 02 Jan 2017
Posts: 271
Own Kudos [?]: 1466 [0]
Given Kudos: 235
Location: Canada
Send PM
Re: A flat patio was built alongside a house as shown in the figure above. [#permalink] New post   12 Jan 2017, 06:21
Area of Patio = area of uncovered part of rectangle
= 40x35 - 20x20= 1000
User avatar
S
kanusha
Manager
Manager
Joined: 25 Mar 2013
Posts: 166
Own Kudos [?]: 130 [0]
Given Kudos: 101
Location: United States
Concentration: Entrepreneurship, Marketing
Schools: Yale '17 HBS '17 Stanford '17
GPA: 3.5
Send PM
GMAT ToolKit User Reviews Badge
Re: A flat patio was built alongside a house as shown in the figure above. [#permalink] New post   18 Jan 2017, 17:52
GMATinsight wrote:
Bunuel wrote:

A flat patio was built alongside a house as shown in the figure above. If all angles shown are right angles, what is the area of the patio in square feet?

(A) 800
(B) 875
(C) 1,000
(D) 1,100
(E) 1,125

Kudos for a correct solution.

Show Spoiler
Attachment:
2015-10-15_0834.png



CHeck teh explanation in figure where the area of Patio has been divided into two rectangles
one of Dimension 35X20
Other of Dimension 15X20

Answer: option C


As mentioned Patio is a square , Area of a square is S^2
All sides should be same as Square
Then how can we multiply Individual Areas 20x15 and 20x35??
Pls explain. Thanks
User avatar
L
vikasp99
Senior Manager
Senior Manager
Joined: 02 Jan 2017
Posts: 271
Own Kudos [?]: 1466 [0]
Given Kudos: 235
Location: Canada
Send PM
Re: A flat patio was built alongside a house as shown in the figure above. [#permalink] New post   23 Jan 2017, 08:52
Area of Patio = area of uncovered part of rectangle
= 40x35 - 20x20 = 1000
User avatar
L
EgmatQuantExpert
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3726
Own Kudos [?]: 16845 [0]
Given Kudos: 165
Send PM
Re: A flat patio was built alongside a house as shown in the figure above. [#permalink] New post   27 Jan 2017, 23:12
Expert Reply
kanusha wrote:
GMATinsight wrote:
Bunuel wrote:

A flat patio was built alongside a house as shown in the figure above. If all angles shown are right angles, what is the area of the patio in square feet?

(A) 800
(B) 875
(C) 1,000
(D) 1,100
(E) 1,125

Kudos for a correct solution.

Show Spoiler
Attachment:
2015-10-15_0834.png



CHeck teh explanation in figure where the area of Patio has been divided into two rectangles
one of Dimension 35X20
Other of Dimension 15X20

Answer: option C


As mentioned Patio is a square , Area of a square is S^2
All sides should be same as Square
Then how can we multiply Individual Areas 20x15 and 20x35??
Pls explain. Thanks


Hey,

It is nowhere mentioned in the question that the Patio is a square.

I guess you must have got confused with the following line - "what is the area of the patio in square feet?"

This simply means that we need to find the area of the patio and the unit of the area is \((feet)^2\) and that will happen only when we express each of the sides of the patio in term of feet and not some other measurement like meters, centimeters etc. :)


Thanks,
Saquib
Quant Expert
e-GMAT

Register for our Free Session on Number Properties (held every 3rd week) to solve exciting 700+ Level Questions in a classroom environment under the real-time guidance of our Experts :)

avatar
B
Psk13
Intern
Intern
Joined: 23 Jul 2016
Posts: 21
Own Kudos [?]: 6 [0]
Given Kudos: 176
Send PM
Re: A flat patio was built alongside a house as shown in the figure above. [#permalink] New post   07 Mar 2017, 04:44
patio has dimension 40*35
therefore area=1400
why the overlapped area has to subtracted from it?
even though the question asks what is area of patio
User avatar
B
Wildflower
Intern
Intern
Joined: 03 Aug 2016
Posts: 40
Own Kudos [?]: 21 [0]
Given Kudos: 99
Send PM
Re: A flat patio was built alongside a house as shown in the figure above. [#permalink] New post   09 Apr 2018, 11:33
Bunuel wrote:

A flat patio was built alongside a house as shown in the figure above. If all angles shown are right angles, what is the area of the patio in square feet?

(A) 800
(B) 875
(C) 1,000
(D) 1,100
(E) 1,125

Kudos for a correct solution.

Show Spoiler
Attachment:
2015-10-15_0834.png


Area of the patio (including the part overlapped by the house) = L*W = 35*40 = 1400

Now, the area (square) of the overlapped part = side*side = 20*20 = 400

Area of the patio = 1400-400 = 1000

Answer is option C.
User avatar
B
Farina
Manager
Manager
Joined: 21 Aug 2019
Posts: 105
Own Kudos [?]: 42 [0]
Given Kudos: 353
Send PM
Re: A flat patio was built alongside a house as shown in the figure above. [#permalink] New post   15 Mar 2020, 05:41
Asad wrote:
Bunuel wrote:

A flat patio was built alongside a house as shown in the figure above. If all angles shown are right angles, what is the area of the patio in square feet?

(A) 800
(B) 875
(C) 1,000
(D) 1,100
(E) 1,125

Kudos for a correct solution.

Show Spoiler
Attachment:
2015-10-15_0834.png

Total area of patio, 40*35=1400
Overlap part:
40-20=20
35-15=20
So, 20*20=400
So, the area of patio after removing house part=1400-400=1100.
So, the correct answer is D


I think there is calculation error. its 1400 - 400 = 1000 option D
avatar
rheadh
Intern
Intern
Joined: 04 Jul 2020
Posts: 1
Own Kudos [?]: 0 [0]
Given Kudos: 2
Send PM
Re: A flat patio was built alongside a house as shown in the figure above. [#permalink] New post   15 Aug 2020, 00:23
There is another way to solve this question !


as mentioned in the question all the angles in the patio are right angles we can divide the patio into two right angle triangles.



area of triangle 1 = 1/2 * 40* 35 = 700

area of triangle 2 = 700 - (20*20) ie: the area of the square that comes into the house = 300

total area of patio = triangle 1 + triangle 2 = 1000

answer choice C
User avatar
P
MHIKER
Director
Director
Joined: 14 Jul 2010
Status:No dream is too large, no dreamer is too small
Posts: 972
Own Kudos [?]: 4928 [1]
Given Kudos: 690
Concentration: Accounting
Send PM
A flat patio was built alongside a house as shown in the figure above. [#permalink] New post   24 Dec 2020, 08:17
1
Kudos
Top Contributor
Bunuel wrote:

A flat patio was built alongside a house as shown in the figure above. If all angles shown are right angles, what is the area of the patio in square feet?

(A) 800
(B) 875
(C) 1,000
(D) 1,100
(E) 1,125

(PS05554)

Show Spoiler
Attachment:
2015-10-15_0834.png


The are of the Patio; part 1\(=40*(35-20)=40*15=600\)

The are of the Patio; part 2 \(= 20*(35-15)=20*20=400\)

The are of the Patio whole Patio\(=600+400=1000\\
\)
The answer is \(C\)
User avatar
D
avigutman
Tutor
Joined: 17 Jul 2019
Posts: 1304
Own Kudos [?]: 2287 [0]
Given Kudos: 66
Location: Canada
Schools: NYU Stern (WA)
GMAT 1: 780 Q51 V45
GMAT 2: 780 Q50 V47
GMAT 3: 770 Q50 V45
Send PM
Re: A flat patio was built alongside a house as shown in the figure above. [#permalink] New post   06 Mar 2021, 17:15
Expert Reply
Video solution from Quant Reasoning:
Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1
User avatar
L
GMATinsight
GMAT Club Legend
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 5962
Own Kudos [?]: 13391 [0]
Given Kudos: 124
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Send PM
Reviews Badge
Re: A flat patio was built alongside a house as shown in the figure above. [#permalink] New post   07 May 2021, 21:40
Expert Reply
Bunuel wrote:

A flat patio was built alongside a house as shown in the figure above. If all angles shown are right angles, what is the area of the patio in square feet?

(A) 800
(B) 875
(C) 1,000
(D) 1,100
(E) 1,125

(PS05554)

Show Spoiler
Attachment:
2015-10-15_0834.png

Wanna make solving the Official Questions interesting???


Click here and solve 1000+ Official Questions with Video solutions as Timed Sectional Tests
and Dedicated Data Sufficiency (DS) Course


Answer: Option C

Video solution by GMATinsight



Get TOPICWISE: Concept Videos | Practice Qns 100+ | Official Qns 50+ | 100% Video solution CLICK HERE.
Two MUST join YouTube channels : GMATinsight (1000+ FREE Videos) and GMATclub :)
User avatar
S
GmatPoint
Senior Manager
Senior Manager
Joined: 02 Jan 2022
Posts: 266
Own Kudos [?]: 94 [0]
Given Kudos: 3
GMAT 1: 760 Q50 V42
Send PM
Re: A flat patio was built alongside a house as shown in the figure above. [#permalink] New post   14 Jun 2022, 01:54
Since the patio, if not covered by the house would have been rectangular,
The area of the patio then would have been 40*35 = 1400 sqft

Now the length of house covering the patio = 40 - 20 = 20ft
The breadth of the same = 35 - 15 = 20ft

Thus, the area of the patio covered with house = 20*20 = 400 sqft

Thus, the area of the patio = 1400 - 400 sqft = 1,000 sqft.

Thus, the correct option is C.
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32690
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: A flat patio was built alongside a house as shown in the figure above. [#permalink] New post   08 Aug 2023, 04:40
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.
GMAT Club Bot
gmatclubot
Re: A flat patio was built alongside a house as shown in the figure above. [#permalink]
08 Aug 2023, 04:40
Moderators:
Bunuel
Math Expert
92948 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions