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 point)
Responses

7.5 inches
7.5 inches

60 inches
60 inches

0.4 inches
0.4 inches

2.5 inches
2.5 inches

Answer 1

To find the length of the shorter side in Tiyane’s scale drawing, we first determine the scale factor used in the drawing.

The longer side of the original parallelogram measures 9 inches, and in the drawing, it measures 22.5 inches. We can find the scale factor by dividing the drawing length by the actual length:

\[
\text{Scale factor} = \frac{\text{Length in drawing}}{\text{Actual length}} = \frac{22.5}{9}
\]

Calculating that gives:

\[
\text{Scale factor} = 2.5
\]

Now, we apply the same scale factor to the shorter side of the original parallelogram, which measures 3 inches:

\[
\text{Shorter side in drawing} = \text{Actual shorter side} \times \text{Scale factor} = 3 \times 2.5
\]

Calculating this gives:

\[
\text{Shorter side in drawing} = 3 \times 2.5 = 7.5 \text{ inches}
\]

Thus, the length of the parallelogram's shorter side in Tiyane’s scale drawing is **7.5 inches**.