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)
• 2.5 inches
• 60 inches
• 0.4 inches
• 7.5 inches
To find the length of the parallelogram's shorter side in Tiyane's scale drawing, we need to determine the scale factor used in the drawing.
Given that the longer side of the parallelogram is 22.5 inches in the drawing, if the actual length of the longer side is x inches, we can set up the proportion:
x / 22.5 = 1 / scale factor
Since the scale factor is the same for both the longer and shorter sides, we can also set up a proportion using the actual length of the shorter side (let's call it y inches):
y / unknown length of shorter side = 1 / scale factor
Since the long side is 22.5 inches and the actual scale of the parallelogram is unknown, the short side can be found using the cross-multiplication formula:
y / 22.5 = 1 / scale factor
y = 22.5 / scale factor
Given that y is the actual length of the shorter side, it would be 7.5 inches based on the proportions.
Now, finding the length of the shorter side in Tiyane's scale drawing is 7.5 inches.
Therefore, the correct answer is:
• 7.5 inches