MathDB

The frame of a painting has the form of a

105^{\prime\prime}

105^{\prime\prime}

square with a

95^{\prime\prime}

95^{\prime\prime}

square removed from its center. The frame is built out of congruent isosceles trapezoids with angles measuring

45^\circ

and

135^\circ

. Each trapezoid has one base on the frame's outer edge and one base on the frame's inner edge. Each outer edge of the frame contains an odd number of trapezoid bases that alternate long, short, long, short, etc. What is the maximum possible number of trapezoids in the frame?

Problem Statement