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

Expert replies

Previous Topic Next Topic

AAPL: Moderator; Posts: 2749; Joined: Sun Oct 29, 2017 2:08 pmFollowed by: 2 members

by AAPL » Mon Jun 28, 2021 8:50 am

Timer

00:00

Your answer

Difficulty–

right wrong

Pick an answer to see how members did

Magoosh

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

OA B

Source: Beat The GMAT — Problem Solving | Mon Jun 28, 2021 8:50 am

GMAT/MBA Expert

Brent@GMATPrepNow: GMAT Instructor; Posts: 16206; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

Re: If the length and width of rectangle R are each increased by 1, the area of the new rectangle will be 72. If the len

by Brent@GMATPrepNow » Tue Jun 29, 2021 5:24 am

AAPL wrote: ↑
Mon Jun 28, 2021 8:50 am
Magoosh

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

OA B

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

Brent Hanneson - Creator of GMATPrepNow.com

Featured schoolRound 2 closes Jan 7, 2027 54 days left

Chicago Booth

Since 1982, 10 Booth faculty members have received the Nobel Prize in Economic Sciences, more than any other business school.

#3
U.S. News rank: $175,000
Median base salary: 670
Average GMAT Focus: 635
Students in the class

Apply to Booth Visit chicagobooth.edu See the full profile

Photo: Warren LeMay, CC BY-SA 2.0

GMAT Course Reviews

563 reviews

1168 reviews

431 reviews

359 reviews

147 reviews

5/5

5 Star (563 Reviews)

"Target Test Prep is the closest to the official version of the GMAT exam, about 99% accuracy in terms of the quality and quantity of information. The course has excellently created singular sets of focused lessons and tests for every possible topic that one could come across in the official GMAT exam."

"The TTP course maximizes the efficiency of the time you spend studying. It will take time and effort but I could almost guarantee that if you complete the course exactly as it is laid out you will get an amazing score. They also have a very responsive team willing to help with any questions you might have."

"TTP has two things that I think no other test prep company offers: A teaching approach that reinforces understanding and an attitude that will give you the mental preparedness needed to succeed on the test. TTP gives you a deep understanding of the concept you need to know while teaching you how to think."

Write a Review