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the 8 is supposed to be a 8.5 2. Can an 8.5 by 12 piece of paper be folded in a manner shown below such

the 8 is supposed to be a 8.5

2. Can an 8.5" by 12" piece of paper be folded in a manner shown below such that the trapezoidal region on the left has twice the area of the bold highlighted triangular region on the right? Determine the minimum and maximum values for the distance from the lowerright corner of the paper to the point the corner touches the lower edge when folded as you still have a trapezoidal and triangular regions. If this point is too far to the right the bolded region is not a triangle while if it is too far to the left the trapezoidal region is no longer a trapezoid. Plot the ratio of the two areas (Trapezoidal and Triangular) as the corner touching the edge moves from the minimum to maximum values. 12

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