GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 22 Jul 2018, 17:17

### 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

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

# If the width of the rectangle above is increased by 50 percent and the

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 47184
If the width of the rectangle above is increased by 50 percent and the  [#permalink]

### Show Tags

04 Oct 2017, 11:17
00:00

Difficulty:

(N/A)

Question Stats:

97% (00:21) correct 3% (00:00) wrong based on 29 sessions

### HideShow timer Statistics

If the width of the rectangle above is increased by 50 percent and the length remains the same, by what percent will the area of the rectangle be increased?

(A) 50%
(B) 100%
(C) 150°
(D) 200°
(E) cannot be determined from the information given

Attachment:

2017-10-04_1124.png [ 1.53 KiB | Viewed 640 times ]

_________________
Manager
Status: Preparing
Joined: 05 May 2016
Posts: 58
Location: India
Re: If the width of the rectangle above is increased by 50 percent and the  [#permalink]

### Show Tags

04 Oct 2017, 12:05
Bunuel wrote:

If the width of the rectangle above is increased by 50 percent and the length remains the same, by what percent will the area of the rectangle be increased?

(A) 50%
(B) 100%
(C) 150°
(D) 200°
(E) cannot be determined from the information given

Attachment:
2017-10-04_1124.png

New area will be 1.5xy where x is width and y is length.
Old area is xy.
(1.5xy-xy)/xy*100=50%

SC Moderator
Joined: 22 May 2016
Posts: 1836
If the width of the rectangle above is increased by 50 percent and the  [#permalink]

### Show Tags

04 Oct 2017, 15:25
Bunuel wrote:

If the width of the rectangle above is increased by 50 percent and the length remains the same, by what percent will the area of the rectangle be increased?

(A) 50%
(B) 100%
(C) 150°
(D) 200°
(E) cannot be determined from the information given

Attachment:
2017-10-04_1124.png

Assume x = 10 and y = 4. (Choose easily multiplied numbers. For y, choose a number that, when multiplied by 1.5 or $$\frac{3}{2}$$, yields an integer.)

Original area = (L * W) = 40

Width increases by 50 percent. New width is $$(4)*\frac{3}{2} = 6$$

New area = (L * W) = 10 * 6 = 60

Percent increase in area =

$$\frac{New - Old}{Old} * 100$$

$$\frac{60 - 40}{40} =(\frac{20}{40}) * 100$$ = 50 percent

Algebra might be faster (not by much). Typically, both lengths increase. There are more multipliers, often squared. Here, just one length increases:

Original area = (y)(x)
New area = (1.5y)(x)

Percent increase:

$$\frac{1.5yx - 1yx}{yx} = \frac{.5}{1} * 100$$ = 50 percent
_________________

In the depths of winter, I finally learned
that within me there lay an invincible summer.

If the width of the rectangle above is increased by 50 percent and the &nbs [#permalink] 04 Oct 2017, 15:25
Display posts from previous: Sort by

# Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.