Two smart mathematicians (Ben and Jen) are told that a rectangle with integer sides L and W has been drawn, having perimeter less than 200, where L > W > 1 . Ben is told the area, Jen is told the perimeter. They now say:
Ben: "I can't determine the dimensions." Jen: "I knew that."
Ben responds, "Now I can determine them." Jen: "So can I."
Given these are true statements, what are the length and the width?
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