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?
To find the length of the parallelogram’s shorter side in Tiyane’s scale drawing, we can set up a proportion.
Let 'x' be the length of the parallelogram’s shorter side in Tiyane’s scale drawing.
Therefore, we can set up the proportion:
9 inches / 3 inches = 22.5 inches / x
(9/3) = (22.5/x)
To solve for 'x', we can cross multiply:
9x = 22.5 * 3
9x = 67.5
Dividing both sides by 9, we get:
x = 67.5 / 9
x = 7.5
Therefore, the length of the parallelogram’s shorter side in Tiyane’s scale drawing is 7.5 inches.