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jmc

geometry junior

Problem

A checkerboard consists of one-inch squares. A square card, inches on a side, is placed on the board so that it covers part or all of the area of each of squares. The maximum possible value of is
(A)
(B)
(C)
(D)
(E)
Solution
Using the Pythagorean Theorem, the diagonal of the square . Because this is longer than ( length of the sides of two adjacent squares), the card can be placed like so, covering squares. .
Final answer
E