Parallelogram on the left is 5 inches long and 3.5 inches wide. The parallelogram on the right is 0.7 inches long and 1 inch wide.
Kamala 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. 5
B. 0.2
C. 4
D. 3.5
To determine the scale factor Kamala uses to go from the left parallelogram to the right parallelogram, we need to compare the lengths of corresponding sides. Since the problem states that the width of the left parallelogram is 3.5 inches and the width of the right parallelogram is 1 inch, we can use these dimensions to find the scale factor:
Scale factor = size of the right parallelogram's side / size of the left parallelogram's side
Scale factor = 1 inch / 3.5 inches
Scale factor = 0.2857...
The scale factor isn't exactly any of the options given (A, B, C, D). Let's round the scale factor to one decimal place to see which option it most closely matches:
Scale factor ≈ 0.3
None of the given options (A: 5, B: 0.2, C: 4, D: 3.5) precisely matches a scale factor of approximately 0.3, but it seems there might be a typographical error in the options provided. The answer should be a number that, when multiplied by the dimensions of the left parallelogram, gives the dimensions of the right parallelogram.
Since the width of the right parallelogram is 1 inch and this is a scaled-down version of the 3.5 inches width of the left parallelogram, we would look for a number that when multiplied by 3.5 inches gives approximately 1 inch. Let's check option B, since it's the closest to our scale factor:
Check scale factor B: 0.2
3.5 inches * 0.2 = 0.7 inches
Option B appears to be the closest to the calculated scale factor, so Kamala could have used 0.2 as the scale factor to create the smaller parallelogram. However, if we want to be thorough, let's also compare the lengths of the parallelograms:
Length of left parallelogram = 5 inches
Length of right parallelogram = 0.7 inches
0.7 inches / 5 inches = 0.14
So it appears there is either an inconsistency in the measurements provided or a typographical error in the question or answer choices. Under normal circumstances, the scale factor should be the same when comparing both the lengths and the widths of the parallelograms. With the provided information and answer choices, option B (0.2) is the closest match, but please double-check the measurement values given in your question for accuracy.