AMC8 2005

AMC8 2005 · Q4

AMC8 2005 · Q4. It mainly tests Arithmetic misc, Area & perimeter.

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?

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

(A) 24 24

(B) 25 25

(D) 48 48

(E) 64 64

Answer

Correct choice: (C)

正确答案：（C）

Solution

(C) The perimeter of the triangle is $6.1 + 8.2 + 9.7 = 24$ cm. The perimeter of the square is also $24$ cm. Each side of the square is $24 \div 4 = 6$ cm. The area of the square is $6^2 = 36$ square centimeters.

（C）三角形的周长是$6.1 + 8.2 + 9.7 = 24$厘米。正方形的周长也是$24$厘米。正方形每条边的长度为$24 \div 4 = 6$厘米。正方形的面积是$6^2 = 36$平方厘米。

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