Last visit was: 25 Apr 2026, 20:52 It is currently 25 Apr 2026, 20:52
Home
Messages
Tests
Schools
Events
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
Back to Forum
Create Topic
555-605 (Medium)|   Geometry|      
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 25 Apr 2026
Posts: 109,830
Own Kudos:
811,290
 [21]
Given Kudos: 105,886
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,830
Kudos: 811,290
 [21]
The area of a rectangular garden would be increased by 150 square feet 22 May 2020, 07:43
Kudos
Add Kudos
21
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

25% (medium)

Question Stats:

81% (02:25) correct 19% (02:56) wrong based on 480 sessions

History

Date
Time
Result
Not Attempted Yet
The area of a rectangular garden would be increased by 150 square feet if either the length were increased by 7.5 feet or the width were increased by 5 feet. What is the area of the garden, in square feet?

A. 600
B. 525
C. 375
D. 300
E. 225


PS21198
ShowHide Answer
Official Answer
A
Every tricky question should trigger a follow up quiz. Build that habit with GMAT Club Forum Quiz →.
Most Helpful Reply
User avatar
GMATinsight
User avatar
Major Poster
Joined: 08 Jul 2010
Last visit: 25 Apr 2026
Posts: 6,977
Own Kudos:
16,918
 [7]
Given Kudos: 128
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Products:
My Reviews
Expert
Expert reply
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
Posts: 6,977
Kudos: 16,918
 [7]
The area of a rectangular garden would be increased by 150 square feet 22 May 2020, 09:33
2
Kudos
Add Kudos
4
Bookmarks
Bookmark this Post
Bunuel
The area of a rectangular garden would be increased by 150 square feet if either the length were increased by 7.5 feet or the width were increased by 5 feet. What is the area of the garden, in square feet?

A. 600
B. 525
C. 375
D. 300
E. 225


PS21198
Show more

Area = l*b

New Area = 150+l*b = (l+7.5)*b
i.e b = 20

New Area = 150+l*b = (l)*(b+5)
i.e l = 30

Area = l*b = 30*20 = 600

Answer: Option A
General Discussion
avatar
Batman117
avatar
Joined: 19 Jan 2019
Last visit: 11 Nov 2020
Posts: 42
Own Kudos:
14
 [1]
Given Kudos: 275
Location: India
Concentration: Operations, Strategy
GPA: 3.3
Products:
My Reviews
Posts: 42
Kudos: 14
 [1]
The area of a rectangular garden would be increased by 150 square feet 22 May 2020, 07:59
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Let X= L W
X is original area
l length and W width

Now as per given info
X+150 = (L+7.5)W
Or
X+150 = (W+5)L
Now equating above equation we get, L=3/2 W
Plug this value in any of above equation.
Put X= LW
And form equation in form of W.
We will get W=20 and L=30

So original area X=LW=30*20=600

Posted from my mobile device
User avatar
BrentGMATPrepNow
User avatar
Major Poster
Joined: 12 Sep 2015
Last visit: 31 Oct 2025
Posts: 6,733
Own Kudos:
36,466
 [1]
Given Kudos: 799
Location: Canada
Expert
Expert reply
Posts: 6,733
Kudos: 36,466
 [1]
The area of a rectangular garden would be increased by 150 square feet Updated on: 15 Dec 2020, 08:38
Originally posted by BrentGMATPrepNow on 24 May 2020, 08:16.
Last edited by BrentGMATPrepNow on 15 Dec 2020, 08:38, edited 1 time in total.
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
The area of a rectangular garden would be increased by 150 square feet if either the length were increased by 7.5 feet or the width were increased by 5 feet. What is the area of the garden, in square feet?

A. 600
B. 525
C. 375
D. 300
E. 225
PS21198
Show more

Let L = the ORIGINAL length of the rectangle
Let W = the ORIGINAL width of the rectangle

So, LW = the ORIGINAL area of the rectangle

The area of a rectangular garden would be increased by 150 square feet if the length were increased by 7.5 feet
So we have the following "word equation": (area of NEW rectangle) - (area of ORIGINAL rectangle) = 150

NEW length = L + 7.5
In this case, the width remains at W
So, the NEW area = (L + 7.5)(W)

Plug values into the word equation to get: (L + 7.5)(W) - LW = 150
Expand: LW + 7.5W - LW = 150
Simplify: 7.5W = 150
Divide both sides by 7.5 to get: W = 20


The area of a rectangular garden would be increased by 150 square feet if the width were increased by 5 feet
Once again, we have the "word equation": (area of NEW rectangle) - (area of ORIGINAL rectangle) = 150

NEW with = W + 5
In this case, the length remains at L
So, the NEW area = (L)(W + 5)

Plug values into the word equation to get: (L)(W + 5) - LW = 150
Expand: LW + 5L - LW = 150
Simplify: 5L = 150
Divide both sides by 5 to get: L = 30

What is the area of the garden, in square feet?
ORIGINAL area of the rectangle = LW
= (30)(20)
= 600

Answer: A

Cheers,
Brent
User avatar
NitishJain
User avatar
IESE School Moderator
Joined: 11 Feb 2019
Last visit: 05 Jan 2025
Posts: 266
Own Kudos:
204
Given Kudos: 53
Posts: 266
Kudos: 204
The area of a rectangular garden would be increased by 150 square feet 24 May 2020, 23:27
Kudos
Add Kudos
Bookmarks
Bookmark this Post
A.

Let length = l feet
Let breadth = b feet
Area = lb sq feet


Case I:
A + 150 = (l+7.5)b
lb + 150 = lb + 7.5b
150 = 7.5b
=> b = 20 feet

Case II:
A + 150 = l(b+5)
lb + 150 = lb + 5l
150 = 5l
=> l = 30 feet

Area = l*b = 30 * 20 = 600 sqaure feet
User avatar
naveenban
User avatar
Joined: 10 Oct 2017
Last visit: 25 Jul 2021
Posts: 66
Own Kudos:
56
 [1]
Given Kudos: 14
Posts: 66
Kudos: 56
 [1]
The area of a rectangular garden would be increased by 150 square feet 25 May 2020, 07:50
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
We get 2 equations,
(x+7.5) * y = xy + 150 -- 1
x* ( y +5 ) = xy + 150 -- 2

from eq 1, y = 20.
from eq 2, x = 30.
xy ( area ) = 600.
Option A
User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 25 Apr 2026
Posts: 22,286
Own Kudos:
26,537
Given Kudos: 302
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 22,286
Kudos: 26,537
The area of a rectangular garden would be increased by 150 square feet 31 May 2020, 04:08
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
The area of a rectangular garden would be increased by 150 square feet if either the length were increased by 7.5 feet or the width were increased by 5 feet. What is the area of the garden, in square feet?

A. 600
B. 525
C. 375
D. 300
E. 225


Show more
Let L = the length of the garden and W = the width of the garden. We can create the equations:

(L + 7.5)W = LW + 150

and

L(W + 5) = LW + 150

Solving the first equation, we have:

LW + 7.5W = LW + 150

7.5W = 150

W = 20

Solving the second equation, we have:

LW + 5L = LW + 150

5L = 150

L = 30

Therefore, the area of the garden is 30 x 20 = 600 sq. ft.

Answer: A
User avatar
Basshead
User avatar
Joined: 09 Jan 2020
Last visit: 07 Feb 2024
Posts: 906
Own Kudos:
323
Given Kudos: 431
Location: United States
Posts: 906
Kudos: 323
The area of a rectangular garden would be increased by 150 square feet 27 Nov 2020, 14:53
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Area of rectangle = \(lw\)

If either the length were increased by 7.5 ft or width were increased by 5 ft = area will be increased by 150

\(l(w+5) = lw + 150\)

\(lw + 5l = lw + 150\)

\(l = 30\)

\(w(l+7.5) = lw + 150\)

\(lw + 7.5w = lw + 150\)

\(w = 20\)

\(lw = 20 * 30 = 600\)

Answer is A.
User avatar
jaydavido
User avatar
Joined: 13 Dec 2022
Last visit: 31 Jul 2023
Posts: 12
Given Kudos: 39
Posts: 12
Kudos: 0
The area of a rectangular garden would be increased by 150 square feet 10 May 2023, 03:02
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
The area of a rectangular garden would be increased by 150 square feet if either the length were increased by 7.5 feet or the width were increased by 5 feet. What is the area of the garden, in square feet?

A. 600
B. 525
C. 375
D. 300
E. 225


PS21198
Show more
why is D incorrect? if the length is 10 and 30... the answer would still work
User avatar
jaydavido
User avatar
Joined: 13 Dec 2022
Last visit: 31 Jul 2023
Posts: 12
Given Kudos: 39
Posts: 12
Kudos: 0
The area of a rectangular garden would be increased by 150 square feet 10 May 2023, 03:02
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
The area of a rectangular garden would be increased by 150 square feet if either the length were increased by 7.5 feet or the width were increased by 5 feet. What is the area of the garden, in square feet?

A. 600
B. 525
C. 375
D. 300
E. 225


PS21198
Show more
why is D incorrect? if the length is 10 and 30... the answer would still work
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,986
Own Kudos:
1,118
Posts: 38,986
Kudos: 1,118
The area of a rectangular garden would be increased by 150 square feet 18 Sep 2024, 16:58
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Bunuel
Math Expert
109830 posts
Krunaal
Tuck School Moderator
852 posts