To find the length of the parallelogram's shorter side in Tiyane’s scale drawing, we first need to establish the scale factor based on the drawing's longer side.
-
Identify the measurements of the original parallelogram:
- Length (longer side) = 9 inches
- Width (shorter side) = 3 inches
-
Identify the length of the longer side in the drawing:
- Length (longer side in drawing) = 22.5 inches
-
Calculate the scale factor: \[ \text{Scale Factor} = \frac{\text{Longer side in drawing}}{\text{Original longer side}} = \frac{22.5}{9} = 2.5 \]
-
Now, apply this scale factor to find the shorter side in the drawing: \[ \text{Shorter side in drawing} = \text{Original shorter side} \times \text{Scale Factor} = 3 \times 2.5 = 7.5 \text{ inches} \]
Therefore, the length of the parallelogram’s shorter side in Tiyane’s scale drawing is 7.5 inches.
The correct response is: 7.5 inches.