AMC 8 2006 Problem 6
AMC8 2006 年第 6 题
面积与周长（综合）★☆☆☆☆
The letter T is formed by placing two inch rectangles next to each other, as shown. What is the perimeter of the T, in inches?
将两个 2×4 英寸的矩形相邻放置，形成下图所示的 T 字形。那么这个 T 字形的周长是多少英寸？
- A.12
- B.16
- C.20
- D.22
- E.24
正确答案 · Correct Answer
C
解析 · Solution
Solution 1
The perimeter is 4 + 2 + 1 + 4 + 2 + 4 + 1 + 2 = 20 4+2+1+4+2+4+1+2=20 inches. OR OR Each rectangle has perimeter = 2 𝑙 + 2 𝑤 = 2 ( 4 ) + 2 ( 2 ) = 8 + 4 = 12 =2l+2w=2(4)+2(2)=8+4=12 inches. When the two rectangles are positioned to form the T T, a two-inch segment of each rectangle is inside the T T and is not on the perimeter of the T T. So the perimeter of the T T is 2 ( 12 ) − 2 ( 2 ) = 24 − 4 = 20 2(12)−2(2)=24−4=20 inches. Answer: 𝐶 C .
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