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If 60 percent of a rectangular floor is covered by a rectangular rug

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Bunuel
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If 60 percent of a rectangular floor is covered by a rectangular rug [#permalink] New post  30 Dec 2013, 06:04
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93% (01:02) correct 7% (01:21) wrong based on 1705 sessions
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If 60 percent of a rectangular floor is covered by a rectangular rug that is 9 feet by 12 feet, what is the area, in square feet, of the floor?

(A) 65
(B) 108
(C) 180
(D) 270
(E) 300
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Re: If 60 percent of a rectangular floor is covered by a rectangular rug [#permalink] New post  12 Jan 2017, 13:40
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15 second approach:

108 is more than half but less than all of the floor. We need something between 108 and 216. Answer C.
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Bunuel
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Re: If 60 percent of a rectangular floor is covered by a rectangular rug [#permalink] New post  30 Dec 2013, 06:05
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SOLUTION

If 60 percent of a rectangular floor is covered by a rectangular rug that is 9 feet by 12 feet, what is the area, in square feet, of the floor?

(A) 65
(B) 108
(C) 180
(D) 270
(E) 300

The area of the rug is 9*12 = 108 square feet.

So, we have that {area of the floor}*0.6 = 108 --> {area of the floor} = 180 square feet.

Answer: C.
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Re: If 60 percent of a rectangular floor is covered by a rectangular rug [#permalink] New post  30 Dec 2013, 22:46
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Firstly, let us find the area of the rectangular rug: 9 * 12 = 108 sq.ft;
If 60% of floor = area of the rectangular rug,
(0.6 * x) = 108, where x is the area of the floor;
x = (108 * 100)/60
x = 180.

Ans is (C).
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Re: If 60 percent of a rectangular floor is covered by a rectangular rug [#permalink] New post  22 Apr 2014, 23:40
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12 *9 = 108;

108 --------------> 60%
??? --------------> 40%

therefore 40% ------ > 72.
108+72= 180 ;
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Re: If 60 percent of a rectangular floor is covered by a rectangular rug [#permalink] New post  16 Jan 2017, 18:08
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Bunuel wrote:

If 60 percent of a rectangular floor is covered by a rectangular rug that is 9 feet by 12 feet, what is the area, in square feet, of the floor?

(A) 65
(B) 108
(C) 180
(D) 270
(E) 300


We are given that 60 percent of a rectangular floor is covered by a 9-foot by 12-foot rug. Thus, the area of the rug is 9 x 12 = 108 square feet. To determine the area of the floor, we can create the following equation in which the total area of the floor is n:

0.6n = 108

6n = 1,080

n = 1,080/6 = 180 square feet

Answer: C
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BrentGMATPrepNow
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Re: If 60 percent of a rectangular floor is covered by a rectangular rug [#permalink] New post  11 Oct 2017, 10:21
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Bunuel wrote:
If 60 percent of a rectangular floor is covered by a rectangular rug that is 9 feet by 12 feet, what is the area, in square feet, of the floor?

(A) 65
(B) 108
(C) 180
(D) 270
(E) 300


Area of rectangular RUG = (base)(height) = (9)(12) =108
This RUG covers 60% of the FLOOR
In other words, 108 = 60% of the area of the FLOOR
Or we can write: 108 = 0.6(area of FLOOR)

So, 108 /0.6 = area of FLOOR
Evaluate to get: 180 = area of FLOOR

Answer: C

Cheers,
Brent
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Re: If 60 percent of a rectangular floor is covered by a rectangular rug [#permalink] New post  11 Oct 2017, 10:22
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PRO TIP :-) :D

Once we know that So, 108 /0.6 = area of FLOOR, we can apply some number sense to avoid dividing 0.6 into 108

Notice that 108 /0.5 = 216
Since 0.6 is a bit bigger than 0.5, we know that 108 /0.6 will be a little bit less than 216
Check the answer choices...only answer choice C is a bit less than 216

ASIDE: This shortcut works, because the answer choices are nicely spread apart.

For more on this strategy, watch the following math tips video


Cheers,
Brent
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Re: If 60 percent of a rectangular floor is covered by a rectangular rug [#permalink] New post  16 Oct 2017, 16:49
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Bunuel wrote:
If 60 percent of a rectangular floor is covered by a rectangular rug that is 9 feet by 12 feet, what is the area, in square feet, of the floor?

(A) 65
(B) 108
(C) 180
(D) 270
(E) 300


Letting n = the area of the floor, we can create the following equation:

(9 x 12) = 0.6n

108 = 0.6n

180 = n

Answer: C
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Re: If 60 percent of a rectangular floor is covered by a rectangular rug [#permalink] New post  03 Dec 2017, 22:47
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Hi All,

With this question, we can use the answer choices 'against' the prompt and TEST THE ANSWERS. To start, we know that the area of the rug is...

(9 ft)(12 ft) = 108 ft^2

We're told that this value represents 60% of the area of the rug. Since we're asked to find the area of the rug, 108 is 60% of one of the answer choices.

Since 60% of 200 = 120, we're clearly looking for an answer that is LESS than200 (but not that much less).

Let's TEST Answer C: 180

(.6)(180) = 108

This is an exact match for what we were told, so this must be the answer.

Final Answer:
Show Spoiler
C


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Re: If 60 percent of a rectangular floor is covered by a rectangular rug [#permalink] New post  17 Mar 2018, 13:29
dheeraj24 wrote:
12 *9 = 108;

108 --------------> 60%
??? --------------> 40%

therefore 40% ------ > 72.
108+72= 180 ;



how did u get 72

Posted from my mobile device

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Re: If 60 percent of a rectangular floor is covered by a rectangular rug [#permalink] New post  18 Mar 2018, 17:35
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Hi crescendoboy,

You can use a ratio to determine the value of 40%. Since 60% = 108.....

40%/60% = X/108
4/6 = X/108
2/3 = X/108
3X = 216
X = 72

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Re: If 60 percent of a rectangular floor is covered by a rectangular rug [#permalink] New post  16 Sep 2019, 09:21
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

If 60 percent of a rectangular floor is covered by a rectangular rug that is 9 feet by 12 feet, what is the area, in square feet, of the floor?

(A) 65
(B) 108
(C) 180
(D) 270
(E) 300

Problem Solving
Question: 15
Category: Geometry; Arithmetic Area; Percents
Page: 63
Difficulty: 550


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If 60 percent of a rectangular floor is covered by a rectangular rug that is 9 feet by 12 feet, what is the area, in square feet, of the floor?

.6x = 9*12
x = 9*12/.6 = 180

IMO C
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