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

2.5 inches
2.5 inches

60 inches
60 inches

0.4 inches

Answer 1

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

The longer side of the parallelogram measures 9 inches, and in Tiyane's drawing, it measures 22.5 inches.

To find the scale factor, divide the length in the drawing by the actual length:

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

Calculating that gives:

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

Next, we use the scale factor to find the length of the shorter side in the drawing. The actual shorter side measures 3 inches. Therefore, in Tiyane's drawing, the shorter side will be:

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

Calculating that gives:

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

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