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工长让小王用钢筋混凝土预制墙板组装一个矩形露天仓库,墙总长为100米,要求所围成的仓库面积最大。小王接受任务后想,矩形的边长如果分别为20米和30米,仓库面积为600平方米。矩形的边长如果分别为15米和35米,仓库面积为525平方米等。要想在这么多种组合方案中找出使面积最大的一个,可真象大海捞针一样,后来无奈,只好向刚从文化补习班毕业的小李请教。小李很快列出下面的计算式:
The foreman asked Xiao Wang to use a reinforced concrete prefabricated wall panel to assemble a rectangular open-air warehouse with a total length of 100 meters, requiring the largest amount of storage space. After Wang accepted the mission, he thought that if the side length of the rectangle is 20 meters and 30 meters respectively, the storage area is 600 square meters. The side length of the rectangle is 15 meters and 35 meters respectively, and the storage area is 525 square meters. To find the largest area in such a variety of combinations, it is like finding a needle in a haystack. Later on, he had no choice but to ask Xiao Li, who had just graduated from a cultural tutoring class. Xiao Li quickly listed the following formula: