A 1-inch by 35-inch piece of wood was divided into six pieces by making five 45◦
cuts, as shown. The four trapezoidal pieces were kept, and the two triangular pieces were discarded. All four
trapezoidal pieces were then used to form a rectangular picture frame. A picture measuring 17 1/2
inches by 20 inches was reduced proportionally so it could fit in the interior of the frame. If the cuts were made so that the
re-sized picture fit exactly within the frame, what was the area of the interior of the frame?
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