Let parallelogram Right parallelogram
Side width: 3.5 in Side width: 1 in
Length: 5 in Length 0.7
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?
A. 0.2
B. 4
C. 5
D. 3.5
To determine the scale factor, we can divide the corresponding side lengths of the two parallelograms.
For the side width, the scale factor is 3.5/1 = 3.5.
For the length, the scale factor is 5/0.7 = 7.14 (rounded to two decimal places).
Since the scale factor should be the same for both the width and the length, we can conclude that Kamla used a scale factor of 3.5.
Therefore, the answer is D. 3.5.
To find the scale factor, we can compare the lengths of the corresponding sides of the two parallelograms.
In the original parallelogram, the side widths are 3.5 in and 1 in, and the lengths are 5 in and 0.7 in.
In the right parallelogram, the corresponding side widths are multiplied by the scale factor, and the lengths are multiplied by the same scale factor.
Let's consider the side width first. The side width of 1 in in the original parallelogram becomes 3.5 in in the right parallelogram. So, the scale factor for the side width is:
Scale factor for side width = 3.5 in / 1 in = 3.5
Now, let's consider the length. The length of 0.7 in in the original parallelogram becomes 1 in in the right parallelogram. So, the scale factor for the length is:
Scale factor for length = 1 in / 0.7 in = 1.43 (approximately)
Since we need to find a common scale factor for both the side width and the length, we can use the smaller scale factor, which is 1.43.
None of the provided options matches exactly with 1.43. However, option D, 3.5, is the closest to 1.43. So, the answer is:
D. 3.5