AMC12 2018 B

AMC12 2018 B · Q1

AMC12 2018 B · Q1. It mainly tests Arithmetic misc, Area & perimeter.

Kate bakes a 20-inch by 18-inch pan of cornbread. The cornbread is cut into pieces that measure 2 inches by 2 inches. How many pieces of cornbread does the pan contain?

Kate烤了一个20英寸×18英寸的玉米面包盘。玉米面包被切成2英寸×2英寸的块。这个盘子包含多少块玉米面包？

(A) 90 90

(B) 100 100

(D) 200 200

(E) 360 360

Answer

Correct choice: (A)

正确答案：（A）

Solution

The area of the pan is $20 \times 18 = 360$ square inches. Each piece has area $2 \times 2 = 4$ square inches. Thus, there are $360 / 4 = 90$ pieces. Alternatively, there are $20 / 2 = 10$ pieces along the length and $18 / 2 = 9$ along the width, for a total of $10 \times 9 = 90$.

盘子的面积是$20 \times 18 = 360$平方英寸。每块的面积是$2 \times 2 = 4$平方英寸。因此，有$360 / 4 = 90$块。或者，沿着长度有$20 / 2 = 10$块，沿着宽度有$18 / 2 = 9$块，总共$10 \times 9 = 90$块。

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