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by tmontgomery » Fri Sep 04, 2015 1:40 pm
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 with in square B?
A. 9/25
B. 1/5
C. 16/25
D. 3/5
E. 6/25
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by Matt@VeritasPrep » Fri Sep 04, 2015 4:49 pm
Square B covers 16/25 of Square A. So there is 9/25 left over -- 25/25 - 16/25 -- and the probability that the point is NOT in Square B is just 9/25.
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by tmontgomery » Fri Sep 04, 2015 11:15 pm
Thank you so much! The way you explained it helps me understand it better!
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by Max@Math Revolution » Sat Sep 05, 2015 9:45 pm
Forget conventional ways of solving math questions. In PS, IVY approach is the easiest and quickest way to find the answer.


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 with in square B?
A. 9/25
B. 1/5
C. 16/25
D. 3/5
E. 6/25

==> the area of square A is 25, and the perimeter of square B is 16, thus the area of square A is (16/4)^2 = 16. the question asks the probability that the point will be in square A but not in square B, thus the answer is (25-16)/25=9/25.
The answer is A



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