Question

一个正方形和一个三角形周长相等。三角形的三边长分别是 $6.1$ cm、 $8.2$ cm 和 $9.7$ cm。正方形的面积是多少平方厘米？

A square and a triangle have equal perimeters. The lengths of the three sides of the triangle are $6.1$ cm, $8.2$ cm and $9.7$ cm. What is the area of the square in square centimeters?

$24$

$25$

$36$

$48$

$64$

答案：C

知识点：周长正方形（几何）

难度评级：660

解答：

三角形的周长为这意味着正方形的边长为因此正方形面积为 $6.1 + 8.2 + 9.7 = 24 \text{ cm.}$ $24 \div 4 = 6 \text{ cm.}$ $6^2 = 36 \text{ cm}^2.$

所以正确答案是 C。

The perimeter of the triangle is $6.1 + 8.2 + 9.7 = 24 \text{ cm.}$ This means that the side length of the square is $24 \div 4 = 6 \text{ cm.}$ Therefore, the area of the square is $6^2 = 36 \text{ cm}^2.$

Thus, C is the correct answer.

2005 AMC 8 第 4 题

答案：C

难度评级：660

解答：

其他年份的第 4 题