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
60 inches
60 inches
7.5 inches
7.5 inches
2.5 inches
2.5 inches
0.4 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
60 inches
60 inches
7.5 inches
7.5 inches
2.5 inches
2.5 inches
0.4 inches
Answers
GPT-4o mini
To find the length of the parallelogram's shorter side in Tiyane's scale drawing, we can use the ratio between the original dimensions and the scale drawing dimensions.
The longer side of the parallelogram in the original measures 9 inches, and in Tiyane's drawing, it measures 22.5 inches. We can find the scale factor by dividing the drawing length by the actual length:
\[
\text{Scale factor} = \frac{\text{Drawing length}}{\text{Actual length}} = \frac{22.5 \text{ inches}}{9 \text{ inches}} = 2.5
\]
Now, we can use this scale factor to find the length of the shorter side in Tiyane's drawing. The original shorter side measures 3 inches. Thus, in Tiyane's drawing, the length of the shorter side will be:
\[
\text{Shorter side in drawing} = \text{Actual shorter side} \times \text{Scale factor} = 3 \text{ inches} \times 2.5 = 7.5 \text{ inches}
\]
Therefore, the length of the parallelogram's shorter side in Tiyane’s scale drawing is **7.5 inches**.
The longer side of the parallelogram in the original measures 9 inches, and in Tiyane's drawing, it measures 22.5 inches. We can find the scale factor by dividing the drawing length by the actual length:
\[
\text{Scale factor} = \frac{\text{Drawing length}}{\text{Actual length}} = \frac{22.5 \text{ inches}}{9 \text{ inches}} = 2.5
\]
Now, we can use this scale factor to find the length of the shorter side in Tiyane's drawing. The original shorter side measures 3 inches. Thus, in Tiyane's drawing, the length of the shorter side will be:
\[
\text{Shorter side in drawing} = \text{Actual shorter side} \times \text{Scale factor} = 3 \text{ inches} \times 2.5 = 7.5 \text{ inches}
\]
Therefore, the length of the parallelogram's shorter side in Tiyane’s scale drawing is **7.5 inches**.