SAT Mathematics Practice Test 2

The relationship between n and A is given by the equation $\mathit{n}\mathit{A}=360$. Since n is the number of sides of a polygon, n must be a positive integer, and so $\mathit{n}\mathit{A}=360$ can be rewritten as $\mathit{A}=\frac{360}{\mathit{n}}$ If the value of A is greater tha 50,it follows that $\frac{360}{\mathit{n}}>50$ is true statement.Thus or .Since n must be an integer,the greatest possible value of n is 7.
Choices A and B are incorrect.These are possible values for n, the number of sides of a regular polygon, if $\mathit{A}>50$,but neither is the greatest possible value of n. Choice D is incorrect. If , then $\mathit{n}=8$ is the least possible value of n, the number of sides of a regular polygon. However, the question asks for the greatest possible value of n if $\mathit{A}>50$, which is $\mathit{n}=7$.