Use the image to answer the 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
7.5 inches
0.4 inches
60 inches
2.5 inches
Since the length of the longer side in Tiyane's drawing is 22.5 inches and the length of the longer side in the actual parallelogram is 9 inches, we can set up a proportion:
Longer side in Tiyane's drawing / Longer side in actual parallelogram = Shorter side in Tiyane's drawing / Shorter side in actual parallelogram
22.5 inches / 9 inches = Shorter side in Tiyane's drawing / 3 inches
Simplifying the proportion, we get:
2.5 = Shorter side in Tiyane's drawing / 3 inches
Cross-multiplying, we find:
2.5 * 3 = Shorter side in Tiyane's drawing
7.5 = Shorter side in Tiyane's drawing
Therefore, the length of the parallelogram's shorter side in Tiyane's scale drawing is 7.5 inches.