AMC8 2003
AMC8 2003 · Q10
AMC8 2003 · Q10. It mainly tests Ratios & proportions, Area & perimeter.
Four friends, Art, Roger, Paul and Trisha, bake cookies, and all cookies have the same thickness. The shapes of the cookies differ, as shown.
Each friend uses the same amount of dough, and Art makes exactly 12 cookies.
How many cookies will be in one batch of Trisha’s cookies?
四位朋友——Art、Roger、Paul 和 Trisha——烤曲奇，而且所有曲奇的厚度都相同。曲奇的形状不同，如图所示。
每个人使用相同数量的面团，Art 恰好做了 12 块曲奇。
一批 Trisha 的饼干有多少个？
(A)
10
10
(B)
12
12
(C)
16
16
(D)
18
18
(E)
24
24
Answer
Correct choice: (E)
正确答案：（E）
Solution
The triangle’s area is 6 in$^2$, or half that of the trapezoid. So Trisha will make twice as many cookies as Art, or 24.
三角形面积是 6 平方英寸，是梯形面积的一半。所以 Trisha 会做比 Art 多两倍的饼干，即 24 个。
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