To find the length of the shorter side in Tiyane's scale drawing, we need to first determine the scaling factor used in her drawing.
The original longer side measures 9 inches, and in the drawing, it measures 22.5 inches. We can find the scale factor by dividing the drawing length by the original length:
\[ \text{Scale Factor} = \frac{\text{Length in Drawing}}{\text{Original Length}} = \frac{22.5 \text{ inches}}{9 \text{ inches}} = 2.5 \]
The original shorter side measures 3 inches. To find the length of the shorter side in Tiyane's scale drawing, we multiply the original shorter side length by the scale factor:
\[ \text{Shorter Side in Drawing} = \text{Original Shorter Side} \times \text{Scale Factor} = 3 \text{ inches} \times 2.5 = 7.5 \text{ inches} \]
Thus, the length of the parallelogram’s shorter side in Tiyane’s scale drawing is 7.5 inches.
The correct response is:
7.5 inches