(an image shows a picture of a parallelogram with a height of 3 inches and a base of 9 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?
In the scale drawing, the ratio of the longer side to the actual longer side is equal to the ratio of the shorter side to the actual shorter side.
Let x be the length of the shorter side in Tiyane's scale drawing.
Therefore, 22.5/9 = x/3
Solving for x:
22.5 * 3 = 9x
67.5 = 9x
x = 7.5
Therefore, the length of the parallelogram's shorter side in Tiyane's scale drawing is 7.5 inches.