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
3.5
3.5
4
4
5
5
0.2
0.2
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To determine the scale factor, we need to compare the corresponding side lengths of the two parallelograms.
In the first parallelogram, the longer parallel side is 5 inches and the shorter parallel side is 3.5 inches.
In the second parallelogram, the longer parallel side is 0.7 inches and the shorter parallel side is unknown.
Since the scale factor is used to compare corresponding side lengths, we can set up a proportion:
5 inches / 3.5 inches = 0.7 inches / x inches
Cross-multiplying, we get:
5 inches * x inches = 3.5 inches * 0.7 inches
5x = 2.45
Dividing both sides by 5 inches:
x = 0.49 inches
Therefore, the scale factor used by Kamla is 0.49.