GRE Prep 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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
If the length and width of rectangle R are each increased by 1, the ar
[#permalink]
04 Jan 2022, 08:00
04 Jan 2022, 08:00
1
Expert Reply
2
Bookmarks
00:00
Question Stats:
91% (02:40) correct
8% (05:00) wrong based on 23 sessions
Hide Show timer Statistics
If the length and width of rectangle R are each increased by 1, the area of the new rectangle will be 72. If the length and width of rectangle R are each decreased by 1, the area of the new rectangle will be 35. What is the perimeter of rectangle R?
A. 34
B. 37
C. 48
D. 50
E. 51
A. 34
B. 37
C. 48
D. 50
E. 51
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: If the length and width of rectangle R are each increased by 1, the ar
[#permalink]
04 Jan 2022, 10:10
04 Jan 2022, 10:10
Carcass wrote:
If the length and width of rectangle R are each increased by 1, the area of the new rectangle will be 72. If the length and width of rectangle R are each decreased by 1, the area of the new rectangle will be 35. What is the perimeter of rectangle R?
A. 34
B. 37
C. 48
D. 50
E. 51
A. 34
B. 37
C. 48
D. 50
E. 51
Let L = the length of rectangle R
Let W = the width of rectangle R
If the length and width of rectangle R are each increased by 1, the area of the new rectangle will be 72.
We can write: (L + 1)(W + 1) = 72
Expand to get: LW + L + W + 1 = 72
If the length and width of rectangle R are each decreased by 1, the area of the new rectangle will be 35.
We can write: (L - 1)(W - 1) = 35
Expand to get: LW - L - W + 1 = 35
What is the perimeter of rectangle R?
The perimeter = L + W + L + W = 2L + 2W
So far we have:
LW + L + W + 1 = 72
LW - L - W + 1 = 35
When we subtract the bottom equation from the top equation we get: 2L + 2W = 37
Since the perimeter = 2L + 2W, we can see that the correct answer is B
Re: If the length and width of rectangle R are each increased by 1, the ar
[#permalink]
16 May 2023, 01:08
16 May 2023, 01:08
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep 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.
Thanks to another GRE Prep 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.
