I'm working on a practice SAT and can't figure out this problem...
'On a square gameboard that is divided into n rows of n squares each, k of these squares lie on the boundary of the gameboard. Which of the following is a possible value for k?
10
25
34
42
52'
Can someone please write an explanation for this?
'On a square gameboard that is divided into n rows of n squares each, k of these squares lie on the boundary of the gameboard. Which of the following is a possible value for k?
10
25
34
42
52'
Can someone please write an explanation for this?
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equation is n*2 + (n-2)* 2
if n = 6, 6*2 + 4*2 = 20
if n = 7, 7*2 + 5*2 = 24
if n = 8, 8*2 + 6*2 = 28
if n = 10, 10*2 + 8*2 = 36
if n = 12, 12*2 + 10*2 = 44
if n = 14, 14*2 + 12*2 = 52
Answer is (E).
if n = 6, 6*2 + 4*2 = 20
if n = 7, 7*2 + 5*2 = 24
if n = 8, 8*2 + 6*2 = 28
if n = 10, 10*2 + 8*2 = 36
if n = 12, 12*2 + 10*2 = 44
if n = 14, 14*2 + 12*2 = 52
Answer is (E).
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Each edge has n squares touching it, the total is 4n minus the duplicated at 4 corners. Therefore, the number should be
4n - 4
The only possible value is 52, which n = 14.
4n - 4
The only possible value is 52, which n = 14.
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answer is here
http://www.algebra.com/algebra/homework/word/misc/Miscellaneous_Word_Problems.faq.question.393640.html
http://www.algebra.com/algebra/homework/word/misc/Miscellaneous_Word_Problems.faq.question.393640.html