AMC8 2011
AMC8 2011 · Q19
AMC8 2011 · Q19. It mainly tests Basic counting (rules of product/sum), Area & perimeter.
How many rectangles are in this figure?
这个图形中有多少个矩形？
(A)
8
8
(B)
9
9
(C)
10
10
(D)
11
11
(E)
12
12
Answer
Correct choice: (D)
正确答案：（D）
Solution
The figure can be divided into $7$ sections. The number of rectangles with just one section is $3.$ The number of rectangles with two sections is $5.$ There are none with only three sections. The number of rectangles with four sections is $3.$
$3+5+3=\boxed{\textbf{(D)}\ 11}$
该图形可分成$7$个部分。只包含一个部分的矩形有$3$个。包含两个部分的矩形有$5$个。只包含三个部分的矩形没有。包含四个部分的矩形有$3$个。
$3+5+3=\boxed{\textbf{(D)}\ 11}$
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