To find the length of the shorter side in Tiyane's scale drawing, we need to determine the scale factor of her drawing.
Let's assume the actual length of the longer side of the parallelogram is L inches, and the actual length of the shorter side is S inches.
Given that in Tiyane's scale drawing, the longer side is 22.5 inches, we have:
22.5 / L = scale factor
Now, since a parallelogram has opposite sides that are equal in length, we know that the scale factor of the longer side would be the same as the scale factor of the shorter side.
Therefore, to find the length of the shorter side in Tiyane's scale drawing, we can use the same scale factor.
S = (22.5 / L) * S
Now, we need to find the value of L. Given that the longer side in Tiyane's scale drawing is 22.5 inches, we can set up the following proportion:
L / 22.5 = 1 / scale factor
Since the longer side is 22.5 inches in the drawing, the scale factor would be 1.
Therefore, L = 22.5 inches
Now we can substitute this value of L back into the equation to find the length of the shorter side in Tiyane's scale drawing:
S = (22.5 / 22.5) * S
S = S
Therefore, the length of the parallelogram's shorter side in Tiyane's scale drawing is the same as the actual length of the shorter side.