BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

In a rectangle, the length is increased by 10%, and the width is decreased by 10%. W

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 am
Location: Las Vegas, USA
Thanked: 19 times
Followed by:37 members

In a rectangle, the length is increased by 10%, and the width is decreased by 10%. W

by Max@Math Revolution » Fri Jun 12, 2020 12:44 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

[GMAT math practice question]

In a rectangle, the length is increased by 10%, and the width is decreased by 10%. What percentage is the reduced area of the rectangle?
6.12 PS.png
A. 1%
B. 5%
C. 10%
D. 15%
E. 17%
Top
Source: — Problem Solving |
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 am
Location: Las Vegas, USA
Thanked: 19 times
Followed by:37 members

Re: In a rectangle, the length is increased by 10%, and the width is decreased by 10%. W

by Max@Math Revolution » Sun Jun 14, 2020 5:49 pm
=>

Assume a = AD and b = AB are the lengths of the two sides of rectangle ABCD, as shown in the figure.
Then the area of the rectangle ABCD is ab.

Then the area of the rectangle AB’C’D’ is a(1 - 0.1)·b(1 + 0.1) = ab(1 - 0.01) after the sides change.

Thus, the area is decreased by 1%.

Therefore, A is the answer.
Answer: A
Top
Post new topic Post Reply
• Page 1 of 1