2018 AMC 12B Problem 1

Below is the professionally curated solution for Problem 1 of the 2018 AMC 12B, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2018 AMC 12B solutions, or check the answer key.

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Concepts:area

Difficulty rating: 840

1.

Kate bakes a 2020-inch by 1818-inch pan of cornbread. The cornbread is cut into pieces that measure 22 inches by 22 inches. How many pieces of cornbread does the pan contain?

9090

100100

180180

200200

360360

Solution:

The pan has area 2018=36020\cdot18=360 square inches, and each piece has area 22=42\cdot2=4 square inches.

The number of pieces is 3604=90. \dfrac{360}{4}=90.

Thus, the correct answer is A.

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