2012 AMC 8 第 6 题
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所有题目均经美国数学协会（MAA）官方合法授权使用。
6.
一张长方形照片放入相框后，照片四周形成宽二英寸的边框。照片高 英寸、宽 英寸。边框的面积是多少平方英寸？
A rectangular photograph is placed in a frame that forms a border two inches wide on all sides of the photograph. The photograph measures inches high and inches wide. What is the area of the border, in square inches?
小提示：
求带相框照片的外部长方形尺寸。
Find the outside dimensions of the framed photograph.
大提示：
从外部长方形面积中减去照片面积。
Subtract the photograph area from the outside rectangle area.
视频讲解：
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文字解答：
每一边都增加 英寸，所以高度和宽度各总共增加 英寸。外部长方形尺寸为 ，面积为 。
照片本身面积为 。
因此边框面积为 。
所以正确答案是 E。
If we add inches on each side, we add inches total on both sides. This means that the dimensions of the outer part of the frame are The area of this is
However, we must take out the area of the inner part of the frame which has area
Therefore, the total area is
Thus, the answer is E .
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