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?

1 answer

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.