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Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Re: If 60 percent of a rectangular floor is covered by a rectang [#permalink]

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30 Dec 2013, 22:46

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This post received KUDOS

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.

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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Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

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This problem requires you to 1) copy the information down correctly and 2) use the appropriate ratio.

Here we know that 9*12 = 3/5x. Instead of multiplying 9*12, we should leave it as-is so we can then bring over 3/5 and divide 9 by 3.

Re: If 60 percent of a rectangular floor is covered by a rectangular rug [#permalink]

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11 Oct 2017, 10:12

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?

60 % of rectangular floor area = area of rug 9feet by 12 feet => (60/100)* rectangular floor area = 9* 12 => Rectangular floor area = (100/60) * (9*12) = 180

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

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

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.