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A rectangular floor that is 4 meters wide is to be completely covered

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A rectangular floor that is 4 meters wide is to be completely covered  [#permalink]

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New post 09 Dec 2014, 07:49
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Tough and Tricky questions: Geometry.



A rectangular floor that is 4 meters wide is to be completely covered with nonoverlapping square tiles, each with side of length 0.25 meter, with no portion of any tile remaining. What is the least number of such tiles that will be required?

(1) The length of the floor is three times the width.
(2) The area of the floor is 48 square meters.



Kudos for a correct solution.

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Re: A rectangular floor that is 4 meters wide is to be completely covered  [#permalink]

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New post 09 Dec 2014, 08:05
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A rectangular floor that is 4 meters wide is to be completely covered with non overlapping square tiles, each with side of length 0.25 meter, with no portion of any tile remaining. What is the least number of such tiles that will be required?

(1) The length of the floor is three times the width.
(2) The area of the floor is 48 square meters.


Statement 1

The length of the floor is three times the width =>Length = 12m
Required number of square tile with side 0.25m = 48*16 ....Sufficient....BCE

Statement 1
The area of the floor is 48 square meters.
Floor is rectangular with width 4 m. Therefore length of the floor = 12m
Required number of square tile with side 0.25m = 48*16 ....Sufficient....A D

Answer: D
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Re: A rectangular floor that is 4 meters wide is to be completely covered  [#permalink]

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New post 09 Dec 2014, 10:29
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A rectangular floor that is 4 meters wide is to be completely covered with nonoverlapping square tiles, each with side of length 0.25 meter, with no portion of any tile remaining. What is the least number of such tiles that will be required?

We need to calculate the area of the floor and divide by the area of each tile. The only information we need is the length of the floor.

(1) The length of the floor is three times the width. Sufficient--we can determine the length of the floor.
(2) The area of the floor is 48 square meters. Also sufficient--we can back-calculate the length of the floor.

Choice D
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Re: A rectangular floor that is 4 meters wide is to be completely covered  [#permalink]

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New post 26 Dec 2014, 10:49
Bunuel wrote:

Tough and Tricky questions: Geometry.



A rectangular floor that is 4 meters wide is to be completely covered with nonoverlapping square tiles, each with side of length 0.25 meter, with no portion of any tile remaining. What is the least number of such tiles that will be required?

(1) The length of the floor is three times the width.
(2) The area of the floor is 48 square meters.



Kudos for a correct solution.


The correct answer is D.
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Re: A rectangular floor that is 4 meters wide is to be completely covered  [#permalink]

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New post 23 Dec 2018, 08:47

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Re: A rectangular floor that is 4 meters wide is to be completely covered   [#permalink] 23 Dec 2018, 08:47
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