To find the length of the shorter side of the parallelogram in Tiyane's scale drawing, we first need to determine the scale factor used in the drawing.
The actual longer side of the parallelogram is 9 inches, and the longer side in Tiyane's drawing is 22.5 inches.
The scale factor can be calculated as follows:
\[ \text{Scale Factor} = \frac{\text{Length in drawing}}{\text{Actual length}} = \frac{22.5}{9} = 2.5 \]
Now, we use this scale factor to find the length of the shorter side in the drawing. The actual shorter side of the parallelogram is 3 inches.
Using the scale factor:
\[ \text{Length of shorter side in drawing} = \text{Actual shorter side} \times \text{Scale Factor} = 3 \times 2.5 = 7.5 \text{ inches} \]
Thus, the length of the parallelogram's shorter side in Tiyane's scale drawing is 7.5 inches.