To find the length of the shorter side of the parallelogram in Tiyane’s scale drawing, you can use a proportion based on the lengths of the sides in the original figure.
The longer side of the original parallelogram measures 9 inches, and the shorter side measures 3 inches. In Tiyane's drawing, the longer side is 22.5 inches.
First, we can set up a ratio based on the original lengths:
\[ \frac{\text{Shorter Side}}{\text{Longer Side}} = \frac{3}{9} \]
Now, in Tiyane's drawing, this ratio will remain the same:
\[ \frac{\text{Shorter Side in Drawing}}{22.5} = \frac{3}{9} \]
To find the shorter side in Tiyane’s drawing, we can cross-multiply:
\[ \text{Shorter Side in Drawing} \cdot 9 = 22.5 \cdot 3 \]
Calculating the right-hand side:
\[ 22.5 \cdot 3 = 67.5 \]
Now we have:
\[ \text{Shorter Side in Drawing} \cdot 9 = 67.5 \]
Next, divide both sides by 9:
\[ \text{Shorter Side in Drawing} = \frac{67.5}{9} = 7.5 \]
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
1 answer