How Many Squares Are Crossed?
A diagonal is drawn on the floor from 1 corner to the opposite corner of a rectangular room covered with square tiles 1' x 1'.
A number of tiles are crossed by the diagonal. This depends on the size of the room and the relation of the width and the length.
Let A = # of tiles crossed in a room 32' x 48',
B = # of tiles crossed in a room 32' x 47',
and C = # of tiles crossed in a room 32' x 46".
Find the sum A + B + C
Sorry, my grid background did not appear in the diagram. I will try to rectify this.
The answer is 218.
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