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例图(1)、图(2)是两个形状、大小完全相同的大长方形,在每个大长方形内放入如图(3)所示的小长方形,斜线区域是空下来的地方。已知大长方形的长比宽多6cm,问:图(1)、图(2)中画斜线的区域的周长哪个大?大多少?(第四层华罗庚金杯赛决赛) 解:图(1)的周长大,把图(1)中的两条线段AB、CD按箭头方向移动,这样全部斜线分为三部分。显然图(1)中长方形①的周长与图(2)中的长方形⑤的周长相等。
Figure (1) and Figure (2) are two large rectangles with the same shape and size. Place a small rectangle as shown in Figure (3) into each large rectangle, and the slanted area is empty. Known large rectangle more than the width of more than 6cm, Q: Figure (1), Figure (2) draw the area of the diagonal of the circumference which big? 1) of the circumference, the two lines in Figure (1) AB, CD in the direction of the arrow, so that all slash is divided into three parts. Obviously, the circumference of the rectangle ① in the graph (1) is equal to the circumference of the rectangle ⑤ in the graph (2).