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Since the scale factor between the actual parallelogram and the scale drawing is 9/22.5, we can use this ratio to find the length of the shorter side on the scale drawing.
Shorter side on scale drawing = (Shorter side of actual parallelogram) * (Scale factor)
Shorter side on scale drawing = 3 inches * (9/22.5)
Shorter side on scale drawing = 3 inches * 0.4
Shorter side on scale drawing = 1.2 inches
Therefore, the length of the shorter side on her scale drawing is 1.2 inches.