To find the length of the shorter side of the parallelogram in Tiyane's scale drawing, we can use the ratio of the sides in the original parallelogram and Tiyane's drawing.
In the original parallelogram:
- The longer side measures 9 inches.
- The shorter side measures 3 inches.
The scale factor from the original parallelogram to Tiyane's drawing can be calculated by dividing the length of the longer side in the drawing by the length of the longer side in the original parallelogram:
\[ \text{Scale Factor} = \frac{\text{Length of longer side in drawing}}{\text{Length of longer side in original}} = \frac{22.5 \text{ inches}}{9 \text{ inches}} = 2.5 \]
Now we use this scale factor to find the length of the shorter side in Tiyane's drawing. The shorter side in the original parallelogram is 3 inches, so we multiply by the scale factor:
\[ \text{Length of shorter side in drawing} = \text{Length of shorter side in original} \times \text{Scale Factor} \]
\[ \text{Length of shorter side in drawing} = 3 \text{ inches} \times 2.5 = 7.5 \text{ inches} \]
Therefore, the length of the parallelogram’s shorter side in Tiyane’s scale drawing is 7.5 inches.