Explain bot,
Use the image to answer the question.
An illustration shows two parallelograms positioned in different ways. One shows the longer side along the base, and the other is tilted upward to the left, with a longer vertical side. The first parallelogram shows one parallel side as 5 inches and the adjacent side as 3.5 inches. The second parallelogram shows one parallel side as 0.7 inches and the adjacent vertical side as 1 inch.
Kamla draws the parallelogram on the left and then uses a scale factor to create the parallelogram on the right. All measurements are in inches. What scale factor does he use?
(1 point)
Responses
5
5
4
4
0.2
0.2
3.5
3.5
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To determine the scale factor used by Kamla, we need to compare the lengths of the corresponding sides of the two parallelograms.
In the first parallelogram, one parallel side is 5 inches and the adjacent side is 3.5 inches.
In the second parallelogram, one parallel side is 0.7 inches and the adjacent vertical side is 1 inch.
To find the scale factor, we divide the corresponding sides of the second parallelogram by the corresponding sides of the first parallelogram.
For the parallel sides:
0.7 inches / 5 inches = 0.14
For the adjacent vertical sides:
1 inch / 3.5 inches = 0.286
Since we want the scale factor that represents the ratio between the sides, we can take the average of these two ratios:
(0.14 + 0.286) / 2 = 0.213
Therefore, the scale factor that Kamla used is approximately 0.213.