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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

0.4 inches
0.4 inches

2.5 inches
2.5 inches

7.5 inches
7.5 inches

60 inches
60 inches
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1 answer

To find the length of the shorter side in Tiyane's scale drawing, we first need to determine the scale factor of the drawing compared to the original parallelogram.

  1. The original longer side measures 9 inches and is represented as 22.5 inches in Tiyane's drawing.

    Scale factor = Length in drawing / Length in original Scale factor = 22.5 inches / 9 inches = 2.5

  2. The original shorter side measures 3 inches. To find the length of the shorter side in Tiyane's drawing, we multiply by the same scale factor:

    Shorter side in drawing = Original shorter side * Scale factor Shorter side in drawing = 3 inches * 2.5 = 7.5 inches

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