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Question

A parallelogram shows the longer side on the top measuring 9 inches and the shorter side on the right measuring 3 inches.

Tiyane makes a scale drawing of the parallelogram. The longer side of the parallelogram is 22.5 inches in her drawing. What is the length of the parallelogram’s shorter side in Tiyane’s scale drawing?

(1 point)
Responses

60 inches
60 inches

2.5 inches
2.5 inches

7.5 inches
7.5 inches

0.4 inches
0.4 inches
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Answer 1

To find the length of the shorter side in Tiyane's scale drawing, we need to determine the scale factor based on the longer side of the parallelogram.

The original longer side of the parallelogram measures 9 inches, and in Tiyane's drawing, it measures 22.5 inches.

First, we find the scale factor:

\[ \text{Scale Factor} = \frac{\text{Length in Drawing}}{\text{Actual Length}} = \frac{22.5}{9} = 2.5 \]

Now, we apply this scale factor to find the length of the shorter side in Tiyane's drawing. The original shorter side measures 3 inches.

Using the scale factor:

\[ \text{Shorter Side in Drawing} = \text{Actual Shorter Side} \times \text{Scale Factor} = 3 \times 2.5 = 7.5 \text{ inches} \]

Thus, the length of the parallelogram's shorter side in Tiyane's scale drawing is 7.5 inches.