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?
To determine the scale factor, we need to compare the corresponding sides of the two parallelograms.
In the first parallelogram, the longer parallel side is 5 inches and the adjacent side is 3.5 inches.
In the second parallelogram, the longer parallel side is 0.7 inches and the adjacent side is 1 inch.
To find the scale factor, we can divide the corresponding sides:
Scale factor = (Length of longer parallel side in the second parallelogram) / (Length of longer parallel side in the first parallelogram)
= 0.7 inches / 5 inches
= 0.14
Therefore, the scale factor used by Kamla is 0.14.