AMC 8 2011 Problem 19

AMC8 2011 年第 19 题

基本计数原理★★★☆☆
How many rectangles are in this figure?
下图中有多少个长方形?
AMC 8 2011 Problem 19 figure
  1. A.8
  2. B.9
  3. C.10
  4. D.11
  5. E.12

正确答案 · Correct Answer

D

解析 · Solution

Solution 1

Partition the figure into non-overlapping regions as shown. The list of rectangles are 𝑏, 𝑐, 𝑑, 𝑎 𝑏, 𝑏 𝑐, 𝑐 𝑑, 𝑐 𝑓, 𝑑 𝑒, 𝑎 𝑏 𝑐 𝑑, 𝑏 𝑐 𝑓 𝑔 b,c,d,ab,bc,cd,cf,de,abcd,bcfg, and 𝑐 𝑑 𝑒 𝑓 cdef. Answer: 𝐷 D ​.

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