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# What is the area of the floor in Dan's rectangular bedroom that will

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Math Expert
Joined: 02 Sep 2009
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What is the area of the floor in Dan's rectangular bedroom that will  [#permalink]

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20 Dec 2018, 02:28
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Difficulty:

45% (medium)

Question Stats:

64% (01:38) correct 36% (01:12) wrong based on 46 sessions

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What is the area of the floor in Dan's rectangular bedroom that will not be covered by a particular rectangular rug?

(1) The area of the floor in Dan's bedroom is 300 square feet.

(2) After the rug is placed in Dan's room, there will be a 24-inch strip of exposed floor between the rug and the wall along all sides of the rug.

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Re: What is the area of the floor in Dan's rectangular bedroom that will  [#permalink]

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20 Dec 2018, 03:46
Bunuel wrote:
What is the area of the floor in Dan's rectangular bedroom that will not be covered by a particular rectangular rug?

(1) The area of the floor in Dan's bedroom is 300 square feet.

(2) After the rug is placed in Dan's room, there will be a 24-inch strip of exposed floor between the rug and the wall along all sides of the rug.

To find The uncovered area of the bedroom floor not covered by the rectangular rug.

Statement 1: Area of the floor in Dan's bedroom =300 square feet. Insufficient.

Statement 2: There is an exposed floor of 24 inch or 2 feet between the rug and the wall. Insufficient. Because we can't find the width and length of the rug and the area of the floor is also unknown.

(1)+(2), We know the area of the floor is 300 square feet. But the area of the rug is again not known. Say, length and breadth of the floor is 15*20. So, Area of the rug will be (15-4*(20-4)=176 square feet. Required area = 300-176=124 square feet. But, say, length=50 and breadth=6, Area of the rug=(50-4)*(6-4)=92. Required Area=300-92= 208 square feet. Insufficient.

Hence, IMO, Option E.
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Re: What is the area of the floor in Dan's rectangular bedroom that will   [#permalink] 20 Dec 2018, 03:46
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