# SAT Math Multiple Choice Practice Question 352: Answer and Explanation

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**Question: 352**

**22.** In a garden that is divided into *x* rows of *x* squares each, *w* of the squares lie along the boundary of the garden. Which of the following is a possible value for *w*?

A. 29

B. 34

C. 40

D. 46

E. 55

**Correct Answer:** C

**Explanation:**

**C** The key is to find a pattern among the many possible solutions. Pick some values for *x* to see if you can see a pattern. For instance, if , then the garden looks like this:

In this case . But if *x* = 4, the garden looks like this:

And here, . You might notice that the value of *w* has increased by 4. Does this pattern continue? Let's try to check:

Sure enough, , and it seems that the pattern continues and *w* is always a multiple of 4. Only choice (C), 40, is a multiple of 4, so that must be the correct answer.