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

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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

OA C

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AAPL wrote:
Wed Sep 23, 2020 4:44 pm
Official Guide

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

OA C
Solution:

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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AAPL wrote:
Wed Sep 23, 2020 4:44 pm
Official Guide

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

OA C
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
Brent Hanneson - Creator of GMATPrepNow.com
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GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 15003
Joined: 08 Dec 2008
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1265 members
GMAT Score:770
AAPL wrote:
Wed Sep 23, 2020 4:44 pm
Official Guide

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

OA C
PRO TIP
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.

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
If you enjoy my solutions, I think you'll like my GMAT prep course
Image
Watch these video reviews of my course
And check out these free resources