To find the length of the shorter side of Tiyane's parallelogram in her scale drawing, we can first determine the scale factor based on the longer side.
- The actual longer side of the parallelogram is 9 inches, and in the drawing, its length is 22.5 inches. Therefore, we can calculate the scale factor as follows:
\[ \text{Scale factor} = \frac{\text{Drawing length}}{\text{Actual length}} = \frac{22.5 \text{ in}}{9 \text{ in}} = 2.5 \]
- Next, we multiply the actual shorter side by the scale factor. The actual shorter side of the parallelogram is 3 inches. Thus, in the drawing, the length of the shorter side is calculated as follows:
\[ \text{Shorter side in drawing} = \text{Actual shorter side} \times \text{Scale factor} = 3 \text{ in} \times 2.5 = 7.5 \text{ in} \]
Therefore, the length of the shorter side of the parallelogram in Tiyane's scale drawing is 7.5 inches.