To solve the problem, we need to find the length of the shorter side of the parallelogram in Tiyane's scale drawing, based on the original dimensions given for the parallelogram.
The original dimensions are:
- Longer side: 9 inches
- Shorter side: 3 inches
Tiyane's scale drawing has the longer side measuring 22.5 inches. We can set up a proportion to find the length of the shorter side in the scale drawing:
The ratio of the longer side in the drawing to the original drawing is: \[ \frac{22.5 \text{ inches}}{9 \text{ inches}} = 2.5 \]
Now we will use this same scale factor to find the length of the shorter side in Tiyane's drawing: \[ \text{Shorter side in drawing} = \text{Scale factor} \times \text{Original shorter side} \] \[ = 2.5 \times 3 \text{ inches} \] \[ = 7.5 \text{ inches} \]
So, the length of the parallelogram’s shorter side in Tiyane’s scale drawing is 7.5 inches.
Therefore, the correct answer is: 7.5 inches.