a SAT math question

来源：百度知道 编辑：UC知道 时间：2024/06/27 08:24:22
on a square gameboard that is divided into n rows of n squares each , k of these square lie along the boundry of the gameboard.which of the following is a possible value for k?
10
25
34
42
52

It should be 52.

一个正方形棋盘分分成N列, 每列有N个小正方形.
如果棋盘的周长由K个小正方形组成, 请问K的值为多少?

(There's one more thing I wanna mention. For the title, it must be "an SAT" but not "a SAT", right? S is a vowel.)

每行有n个，每列有n个，但考虑到拐角处有4个算了两次，所以k = 4n - 4 = 4(n - 1)。又因为n是整数，所以k是4的整数倍。符合题意的只有52

my math sucks i don't know if it's 42 or 52.