Question

Tiyane makes a scale drawing of the parallelogram the longer side is 9 inches and the shorter side is 3 inches. 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?

a.7.5 inches

b.0.4 inches

c.60 inches

d.2.5 inches

Answer 1

To find the length of the parallelogram's shorter side in Tiyane's scale drawing, we can set up a proportion using the given information.

Let x be the length of the shorter side in Tiyane's scale drawing.

9 inches (longer side actual length) / 3 inches (shorter side actual length) = 22.5 inches (longer side in scale drawing) / x

Cross multiply to solve for x:
9 * x = 3 * 22.5
9x = 67.5
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.

So, the answer is:
a. 7.5 inches