问题 单项选择题

A warehouse had a square floor with area 10,000 square meters. A rectangular addition was built along one entire side of the warehouse that increased the floor area by on-half as much as the original floor are-a. How many meters did the addition extend beyond the original building ?()

A.10

B.20

C.50

D.200

E.500

答案

参考答案:C

解析:

如下图所示,额外建的房子是图中的阴影部分:

[*]

设正方形地板的边长为a,额外建的房子伸出原房子b米,则根据题意可得:

a2=10,000→a=100米

ab=5,000→b=50米

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