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Math Expert V
Joined: 02 Sep 2009
Posts: 60515
Rectangular Floors X and Y have equal area. If Floor X is 12  [#permalink]

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3
4 00:00

Difficulty:   5% (low)

Question Stats: 96% (00:45) correct 4% (01:30) wrong based on 1277 sessions

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Rectangular Floors X and Y have equal area. If Floor X is 12 feet by 18 feet and Floor Y is 9 feet wide, what is the length of Floor Y, in feet?

(A) 13 1/2
(B) 18
(C) 18 3/4
(D) 21
(E) 24

Practice Questions
Question: 3
Page: 152
Difficulty: 550

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Math Expert V
Joined: 02 Sep 2009
Posts: 60515
Re: Rectangular Floors X and Y have equal area. If Floor X is 12  [#permalink]

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1
SOLUTION

Rectangular Floors X and Y have equal area. If Floor X is 12 feet by 18 feet and Floor Y is 9 feet wide, what is the length of Floor Y, in feet?

(A) 13 1/2
(B) 18
(C) 18 3/4
(D) 21
(E) 24

Given: $$area=12*18=9*length$$, thus $$length=12*2=24$$.

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Intern  Joined: 21 Sep 2010
Posts: 5
Re: Rectangular Floors X and Y have equal area. If Floor X is 12  [#permalink]

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1
E.) 24

Floor X has an area equivalent to 12 x 18 which simplifies into 2 x 6 x 9 x 2. Floor Y has the same area and we know one side is 9 feet. Simply dividing Floor X's area (2 x 6 x 9 x 2) by 9 will yield the length of the other side of Floor Y (24 or 2 x 6 x 2).
Math Expert V
Joined: 02 Sep 2009
Posts: 60515
Re: Rectangular Floors X and Y have equal area. If Floor X is 12  [#permalink]

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SOLUTION

Rectangular Floors X and Y have equal area. If Floor X is 12 feet by 18 feet and Floor Y is 9 feet wide, what is the length of Floor Y, in feet?

(A) 13 1/2
(B) 18
(C) 18 3/4
(D) 21
(E) 24

Given: $$area=12*18=9*length$$, thus $$length=12*2=24$$.

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Re: Rectangular Floors X and Y have equal area. If Floor X is 12  [#permalink]

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I doubt if the difficulty level is 550 :D

it must be 350.. 18 secs it took. .
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Intern  Joined: 04 Apr 2013
Posts: 30
Re: Rectangular Floors X and Y have equal area. If Floor X is 12  [#permalink]

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3
We can avoid lengthy math here due to the handout the question has given us. 12 x 18 for me at least would take some time to work out. Lucky for us the GMAT writers are aware of this and gave one side of the other rectangle as 9. We have an easy comparison here. 9 is 1/2 of 18. In order for their areas to be equal then we must double 12 which becomes 24. These tricks will help you use comparison to solve it in under 20 seconds.
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Re: Rectangular Floors X and Y have equal area. If Floor X is 12  [#permalink]

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Sachin9 wrote:
I doubt if the difficulty level is 550 :D

it must be 350.. 18 secs it took. .

I think it's because it can be easy to make a really silly mistake, and not pay 100% attention to the question (Like with every question)
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GMAT 1: 530 Q43 V20
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Re: Rectangular Floors X and Y have equal area. If Floor X is 12  [#permalink]

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These are trap questions which can bring your score way down if one is careless.
Manager  S
Joined: 25 Mar 2013
Posts: 222
Location: United States
Concentration: Entrepreneurship, Marketing
GPA: 3.5
Re: Rectangular Floors X and Y have equal area. If Floor X is 12  [#permalink]

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1
Just imagined x and y floors are equal in area. So x = y
As area = lb
12*18=9*x
x = 24
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Re: Rectangular Floors X and Y have equal area. If Floor X is 12  [#permalink]

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Area x = Area Y

12 * 18 = 9 * l

$$l = 12 * \frac{18}{9} = 24$$

Manager  Joined: 07 Apr 2014
Posts: 98
Re: Rectangular Floors X and Y have equal area. If Floor X is 12  [#permalink]

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Bunuel wrote:
Rectangular Floors X and Y have equal area. If Floor X is 12 feet by 18 feet and Floor Y is 9 feet wide, what is the length of Floor Y, in feet?

(A) 13 1/2
(B) 18
(C) 18 3/4
(D) 21
(E) 24

Practice Questions
Question: 3
Page: 152
Difficulty: 550

Always pretty nervous while taking word problems But i got this one..

12*18=216

216/9 = 24
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GMAT 1: 520 Q29 V30
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Re: Rectangular Floors X and Y have equal area. If Floor X is 12  [#permalink]

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area x equals area y
12 times 18 is 216m
216 divided by the width of y equals the length of y, which is 24.
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Senior Manager  G
Joined: 24 Nov 2015
Posts: 475
Location: United States (LA)
Re: Rectangular Floors X and Y have equal area. If Floor X is 12  [#permalink]

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Area of rectangle X = Area of rectangle Y
12 * 18 = 9 * length of Y
length of Y = 24 feet
correct option - E
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Re: Rectangular Floors X and Y have equal area. If Floor X is 12  [#permalink]

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Bunuel wrote:
Rectangular Floors X and Y have equal area. If Floor X is 12 feet by 18 feet and Floor Y is 9 feet wide, what is the length of Floor Y, in feet?

(A) 13 1/2
(B) 18
(C) 18 3/4
(D) 21
(E) 24

Practice Questions
Question: 3
Page: 152
Difficulty: 550

The area of a rectangle is: Area = length x width

We are given that floor X is 12 feet by 18 feet and that floor Y is 9 feet wide. So we can say:

length of X = 12

width of X = 18

width of Y = 9

length of Y = n

We also can say:

Area of Floor X = Area of Floor Y

(length of X)(width of X) = (length of Y)(width of Y)

(12)(18) = 9n

(12)(2) = n

24 = n

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Intern  Joined: 20 Oct 2015
Posts: 36
Re: Rectangular Floors X and Y have equal area. If Floor X is 12  [#permalink]

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Bunuel wrote:
Rectangular Floors X and Y have equal area. If Floor X is 12 feet by 18 feet and Floor Y is 9 feet wide, what is the length of Floor Y, in feet?

(A) 13 1/2
(B) 18
(C) 18 3/4
(D) 21
(E) 24

Practice Questions
Question: 3
Page: 152
Difficulty: 550

12*18=9*x

12*9*2=9*x

12*2=x Intern  B
Joined: 03 Aug 2016
Posts: 40
Re: Rectangular Floors X and Y have equal area. If Floor X is 12  [#permalink]

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Bunuel wrote:
Rectangular Floors X and Y have equal area. If Floor X is 12 feet by 18 feet and Floor Y is 9 feet wide, what is the length of Floor Y, in feet?

(A) 13 1/2
(B) 18
(C) 18 3/4
(D) 21
(E) 24

Practice Questions
Question: 3
Page: 152
Difficulty: 550

Looks like I took the long route to finding out the answer!

Area of the rectangular floor X = L*W --> 12*18 = 216

Area of the rectangular floor Y = L*W --> Y = length * 9

We're given that the areas of floor X and Y are equal --> 216 = length * 9 --> length = 216/9 = 24 --> option E
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Posts: 13990
Re: Rectangular Floors X and Y have equal area. If Floor X is 12  [#permalink]

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_________________ Re: Rectangular Floors X and Y have equal area. If Floor X is 12   [#permalink] 13 Sep 2019, 05:13
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