Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 25 May 2017, 23:45

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# A rectangular plot is half as long again as it is broad

Author Message
TAGS:

### Hide Tags

Manager
Joined: 14 Dec 2011
Posts: 76
Followers: 0

Kudos [?]: 54 [0], given: 74

A rectangular plot is half as long again as it is broad [#permalink]

### Show Tags

24 Apr 2013, 10:50
00:00

Difficulty:

45% (medium)

Question Stats:

30% (01:49) correct 70% (00:38) wrong based on 10 sessions

### HideShow timer Statistics

A rectangular plot is half as long again as it is broad and its area is 2/3 hectares. Then its length is:

(a) 100 m
(b) 33.33 m
(c) 66.66 m
(d) (100 \sqrt{3})/3 m
(e). 88.88 m

Thanks & Regards
Vinni
[Reveal] Spoiler: OA
Manager
Joined: 14 Dec 2011
Posts: 76
Followers: 0

Kudos [?]: 54 [1] , given: 74

Re: A rectangular plot is half as long again as it is broad [#permalink]

### Show Tags

24 Apr 2013, 11:40
1
KUDOS
What does this line "half as long again as it is broad" really mean ?

Vinni
VP
Status: Far, far away!
Joined: 02 Sep 2012
Posts: 1122
Location: Italy
Concentration: Finance, Entrepreneurship
GPA: 3.8
Followers: 190

Kudos [?]: 2100 [0], given: 219

Re: A rectangular plot is half as long again as it is broad [#permalink]

### Show Tags

24 Apr 2013, 11:06
vinnik wrote:
A rectangular plot is half as long again as it is broad and its area is 2/3 hectares. Then its length is:

(a) 100 m
(b) 33.33 m
(c) 66.66 m
(d) (100 \sqrt{3})/3 m
(e). 88.88 m

Thanks & Regards
Vinni

1 hectares = 100*100 squared meters

$$B*H=100000*\frac{2}{3}$$ and $$H=\frac{1}{2}B$$ so $$\frac{B*B}{2}=10000*\frac{2}{3}$$ $$B^2=10000*2*\frac{2}{3}$$

$$B^2=\frac{10000*4}{3}, B=\sqrt{\frac{10000*4}{3}}$$

$$B=\frac{100*2}{\sqrt{3}}$$ and $$H=\frac{100}{\sqrt{3}}$$

IMO D
_________________

It is beyond a doubt that all our knowledge that begins with experience.

Kant , Critique of Pure Reason

Tips and tricks: Inequalities , Mixture | Review: MGMAT workshop
Strategy: SmartGMAT v1.0 | Questions: Verbal challenge SC I-II- CR New SC set out !! , My Quant

Rules for Posting in the Verbal Forum - Rules for Posting in the Quant Forum[/size][/color][/b]

Manager
Joined: 14 Dec 2011
Posts: 76
Followers: 0

Kudos [?]: 54 [0], given: 74

Re: A rectangular plot is half as long again as it is broad [#permalink]

### Show Tags

24 Apr 2013, 12:13
Thanks Zarrolou.

In this question, answer is 100 i.e (A). And i can get this answer when i take one of the sides, suppose y = x + $$\frac{1}{2}x$$ =$$\frac{3x}{2}$$ then only i can get 100 as answer. In your above explanation you have taken $$H=\frac{1}{2}B$$
which gives D as the answer. This is where i am getting confused.

Can anyone please clarify on this.

Vinni
Manager
Joined: 14 Dec 2011
Posts: 76
Followers: 0

Kudos [?]: 54 [0], given: 74

Re: A rectangular plot is half as long again as it is broad [#permalink]

### Show Tags

24 Apr 2013, 13:15
Hi Bunuel ,

I just came across the following question of your's
a-rectangular-garden-is-to-be-twice-as-long-as-it-is-wide-136877.html?fl=similar

I can see that the wording of my question matches the wording of the above question except i can see there is "again" mentioned in the sentence.

Thanks & Regards
Vinni
Math Expert
Joined: 02 Sep 2009
Posts: 38890
Followers: 7737

Kudos [?]: 106172 [0], given: 11607

Re: A rectangular plot is half as long again as it is broad [#permalink]

### Show Tags

25 Apr 2013, 03:32
vinnik wrote:
Hi Bunuel ,

I just came across the following question of your's
a-rectangular-garden-is-to-be-twice-as-long-as-it-is-wide-136877.html?fl=similar

I can see that the wording of my question matches the wording of the above question except i can see there is "again" mentioned in the sentence.

Thanks & Regards
Vinni

This is a poor quality question, so I wouldn't worry about it at all.
_________________
Re: A rectangular plot is half as long again as it is broad   [#permalink] 25 Apr 2013, 03:32
Similar topics Replies Last post
Similar
Topics:
2 Rectangular floor x is to be half as long as it is wide 4 18 Apr 2017, 16:13
3 A rectangular plot of land is designed to have width w inches, perimet 5 06 Sep 2015, 06:37
7 If the length and width of a rectangular garden plot were ea 6 26 Apr 2016, 13:51
12 If the perimeter of a rectangular garden plot is 34 feet and 11 13 Apr 2017, 01:46
7 A rectangular garden is to be twice as long as it is wide. 13 20 May 2016, 11:15
Display posts from previous: Sort by