2018 AMC 12B Problem 1

Attempt Problem 1 of the 2018 AMC 12B below, then check your answer against the professionally curated solution 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.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

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
Answer: A
Concepts:area
Small hint:
Divide the total area of the pan by the area of one piece
Big hint:
The pan has area 20×1820\times18 and each piece has area 2×22\times2
Solution:
The pan has area 20⋅18=36020\cdot18=360 square inches, and each piece has area 2⋅2=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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