2018 AMC 10B Problem 1

Question

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?

90

100

180

200

360

The pan and each piece are rectangles; compare their areas

Divide the total area by the area of one

2 \times 2

piece

The whole pan has area

20 \times 18 = 360

square inches. Each piece is

2 \times 2 = 4

square inches. So the number of pieces is

\frac{360}{4} = 90.

Thus, A is the correct answer.

Problem 1 in other years