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Square A has an area of 25 square centimeters. Square B has

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Square A has an area of 25 square centimeters. Square B has [#permalink] New post 01 Oct 2005, 21:49
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Square A has an area of 25 square centimeters. Square B has a perimeter of 16 centimeters. If square B is placed within square A and a random point is chosen within square A, what is the probability the point is not within square B?

A. 9/25
B. 1/5
C. 16/25
D. 3/5
E. 6/25

Last edited by Bunuel on 21 Feb 2012, 00:20, edited 1 time in total.
Edited the question and added the OA
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Re: Square A has an area of 25 square centimeters. Square B has [#permalink] New post 21 Feb 2012, 00:19
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GMATT73 wrote:
Square A has an area of 25 square centimeters. Square B has a perimeter of 16 centimeters. If square B is placed within square A and a random point is chosen within square A, what is the probability the point is not within square B?

A. 9/25
B. 1/5
C. 16/25
D. 3/5
E. 6/25


I guess it's mean that square B is placed within square A entirely.

Since, the perimeter of B is 16, then its side is 16/4=4 and the area is 4^2=16;

Empty space between the squares is 25-16=9 square centimeters, so if a random point is in this area then it won't be within square B: P=favorable/total=9/25.

Answer: A.
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Re: Square A has an area of 25 square centimeters. Square B has [#permalink] New post 02 Oct 2013, 14:18
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Re: Square A has an area of 25 square centimeters. Square B has [#permalink] New post 21 May 2014, 00:28
Perimeter of square B = 16 cm
Side of Square B = 16/4 = 4 cm
Area of square B = 4^2 = 16 square cm
Attachment:
File comment: square
gmatsqr.jpg
gmatsqr.jpg [ 12.89 KiB | Viewed 358 times ]

If square B is placed within square A, area of square A not covered by square B (shown in black) will be 9 square cm (25-16=9).

If square B is placed within square A and a random point is chosen within square A, the probability that the point is not within square B

= area of A not covered by B/ area of A
=9/25

Answer is A
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Re: Square A has an area of 25 square centimeters. Square B has   [#permalink] 21 May 2014, 00:28
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