AMC 8 2001 Problem 8
AMC8 2001 年第 8 题
四边形与多边形★★☆☆☆
To promote her school's annual Kite Olympics, Genevieve makes a small kite and a large kite for a bulletin board display. The kites look like the one in the diagram. For her small kite Genevieve draws the kite on a one-inch grid. For the large kite she triples both the height and width of the entire grid.
Genevieve puts bracing on her large kite in the form of a cross connecting opposite corners of the kite. How many inches of bracing material does she need?
Genevieve 给大风筝制作了一个十字形的支架，支架即为风筝的两条对角线。她需要多少英寸的支架材料？
- A.30
- B.32
- C.35
- D.38
- E.39
正确答案 · Correct Answer
E
解析 · Solution
Solution 1
Each diagonal of the large kite is 3 times the length of the corresponding diagonal of the short kite since it was made with a grid 3 times as long in both height and width. The diagonals of the small kite are 6 and 7, so the diagonals of the large kite are and , and the amount of bracing Genevieve needs is the sum of these lengths, which is
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