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The figure above represents the floor of a square foyer with a circula
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09 Dec 2014, 07:33
09 Dec 2014, 07:33
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The figure above represents the floor of a square foyer with a circular rug partially covering the floor and extending to the outer edges of the floor as shown. What is the area of the foyer that is not covered by the rug?
(1) The area of the foyer is 9 square meters.
(2) The area of the rug is 2.25π square meters.
DS20382
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Joined: 12 Aug 2014
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Location: United States (AZ)
Concentration: Finance, Strategy
Schools: Cnsrtm-Johnson '20 (A) Cnsrtm-Darden '20 (A) Cnsrtm-Goizueta '20 (A) Cnsrtm-McCombs '20 (A)
GMAT 1: 700 Q47 V39
Re: The figure above represents the floor of a square foyer with a circula
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09 Dec 2014, 07:58
09 Dec 2014, 07:58
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The figure above represents the floor of a square foyer with a circular rug partially covering the floor and extending to the outer edges of the floor as shown. What is the area of the foyer that is not covered by the rug?
(1) The area of the foyer is 9 square meters.
From Statement 1, we can see that the side of the square foyer measures 3 meters. From this, we can also deduce that the radius of the rug measures 1.5 meters. Therefore, we can figure out the area of the foyer that is not covered by the rug. We don't need to solve, but it would be: 9 meters - 2.25π meters = 1.93 meters
(2) The area of the rug is 2.25π square meters.
From Statement 2, we can deduce that the radius of the rug is 1.5 meters. As in Statement 1, we can see that the side of the square foyer must measure 3 meters. Again, we can use this information to figure out the area of the foyer that is not covered by the rug.
Each statement alone is sufficient to answer the question. Answer is D.
(1) The area of the foyer is 9 square meters.
From Statement 1, we can see that the side of the square foyer measures 3 meters. From this, we can also deduce that the radius of the rug measures 1.5 meters. Therefore, we can figure out the area of the foyer that is not covered by the rug. We don't need to solve, but it would be: 9 meters - 2.25π meters = 1.93 meters
(2) The area of the rug is 2.25π square meters.
From Statement 2, we can deduce that the radius of the rug is 1.5 meters. As in Statement 1, we can see that the side of the square foyer must measure 3 meters. Again, we can use this information to figure out the area of the foyer that is not covered by the rug.
Each statement alone is sufficient to answer the question. Answer is D.
Joined: 04 Oct 2013
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Re: The figure above represents the floor of a square foyer with a circula
[#permalink]
09 Dec 2014, 08:22
09 Dec 2014, 08:22
1
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The figure above represents the floor of a square foyer with a circular rug partially covering the floor and extending to the outer edges of the floor as shown. What is the area of the foyer that is not covered by the rug?
(1) The area of the foyer is 9 square meters.
(2) The area of the rug is 2.25π square meters.
Statement 1
The area of the square foyer is 9 square meters => Length of each side of the foyer = 3m
The area of the circular rug = π\({(\frac{3}{2})}^2\) square meter
Therefore, area of the foyer that is not covered by the rug = 9 - π \({(\frac{3}{2})}^2\) square meter
The statement is sufficient...........................BCE
Statement 1
The area of the rug is 2.25π square meters => side of the foyer = 1.5*2=3 meter
Or, the area of the foyer is 9 square meter.
Therefore area of the foyer that is not covered by the rug = 9 - 2.25π square meter
The statement is sufficient...........................A D
Answer: D
(1) The area of the foyer is 9 square meters.
(2) The area of the rug is 2.25π square meters.
Statement 1
The area of the square foyer is 9 square meters => Length of each side of the foyer = 3m
The area of the circular rug = π\({(\frac{3}{2})}^2\) square meter
Therefore, area of the foyer that is not covered by the rug = 9 - π \({(\frac{3}{2})}^2\) square meter
The statement is sufficient...........................
Statement 1
The area of the rug is 2.25π square meters => side of the foyer = 1.5*2=3 meter
Or, the area of the foyer is 9 square meter.
Therefore area of the foyer that is not covered by the rug = 9 - 2.25π square meter
The statement is sufficient...........................
Answer: D
