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Checkerboard with one inch squares

Source: 1993 AMC 8 Problem 25

June 28, 2011
geometryAMC

Problem Statement

A checkerboard consists of one-inch squares. A square card, 1.51.5 inches on a side, is placed on the board so that it covers part or all of the area of each of nn squares. The maximum possible value of nn is
(A) 4 or 5(B) 6 or 7(C) 8 or 9(D) 10 or 11(E) 12 or more\text{(A)}\ 4\text{ or }5 \qquad \text{(B)}\ 6\text{ or }7\qquad \text{(C)}\ 8\text{ or }9 \qquad \text{(D)}\ 10\text{ or }11 \qquad \text{(E)}\ 12\text{ or more}
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