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

Question

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

GMATAcademy · Accepted Answer

15 second approach:

108 is more than half but less than all of the floor. We need something between 108 and 216. Answer C.

Bunuel · Answer

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.

nutshell · Answer

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).

dheeraj24 · Answer

12 *9 = 108;

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

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

ScottTargetTestPrep · Answer

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

BrentGMATPrepNow · Answer

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

BrentGMATPrepNow · Answer

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 https://www.youtube.com/watch?v=8GqcJGUVIk4 Cheers, Brent

JeffTargetTestPrep · Answer

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

EMPOWERgmatRichC · Answer

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:  C

GMAT assassins aren't born, they're made, 
Rich

Emranhossain5599 · Answer

how did u get 72

Posted from my mobile device

EMPOWERgmatRichC · Answer

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

GMAT assassins aren't born, they're made,
Rich

Kinshook · Answer

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

EliteSchools · Answer

Area of the rug = 9x12 =108 unit square

so

60% is equal to = 108
10% will be equal to = 18 (by dividing both the sides of above line by 6)
100% will be equal to = 180 ( by multiplying both the sides of the above line by 10)

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

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

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

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