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Sub 505 Level|   Geometry|      
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Asifpirlo
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The figure above shows the shape of a brick patio. If arc AB Updated on: 22 Aug 2013, 02:28
Originally posted by Asifpirlo on 21 Aug 2013, 18:11.
Last edited by Bunuel on 22 Aug 2013, 02:28, edited 1 time in total.
Edited the question.
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Question Stats:

89% (00:44) correct 11% (00:50) wrong based on 76 sessions

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The figure above shows the shape of a brick patio. If arc AB is a semicircle and ABCD is a square, what is the perimeter of the patio?

(1) The radius of the semicircle described by arc AB is 4.
(2) The perimeter of the square ABCD is 32.
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D
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madhurs254
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The figure above shows the shape of a brick patio. If arc AB 21 Aug 2013, 19:52
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Asifpirlo
The figure above shows the shape of a brick patio. If arc AB is a semicircle and ABCD is a square, what is the perimeter of the patio?

(1) The radius of the semicircle described by arc AB is 4.
(2) The perimeter of the square ABCD is 32.
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Both A and B alone are sufficient to answer.
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Bunuel
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The figure above shows the shape of a brick patio. If arc AB 22 Aug 2013, 02:36
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The figure above shows the shape of a brick patio. If arc AB is a semicircle and ABCD is a square, what is the perimeter of the patio?

The perimeter of the patio equals to the length of the semicircle plus the sum of the three sides of the square.

(1) The radius of the semicircle described by arc AB is 4. We can calculate the length of the semicircle. The side of the square is twice the radius. Sufficient.

(2) The perimeter of the square ABCD is 32 --> the side is 32/4=8. The radius is 8/2=4. Sufficient.

Answer: D.

Hope it's clear.
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The figure above shows the shape of a brick patio. If arc AB 22 Aug 2013, 03:16
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Attachment:
brick.png
The figure above shows the shape of a brick patio. If arc AB is a semicircle and ABCD is a square, what is the perimeter of the patio?
(1) The radius of the semicircle described by arc AB is 4.
(2) The perimeter of the square ABCD is 32.
Show more

In order to find the perimeter of the patio we need EITHER the radius of the semicircle OR side of the square. Either of these values will give the perimeter.

Statement 1
Provides Radius, Thus Sufficient

Statement 2
Provides side of the square, Thus Sufficient

Answer D
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