Kamala draws to parallelogram on the left which is 5 in Long 3.5 in high and then uses scale factor to create the parallelogram on the right which is 0.7 in Long 1 in high I'll measurements are in inches what scale factor does he use a 0.2 B5 C 3.5 D4

Answer 1

To find the scale factor used by Kamala in creating the second parallelogram, we need to compare the dimensions of the original parallelogram to the dimensions of the new parallelogram.

The original parallelogram has the following dimensions:

• Length: 5 inches
• Height: 3.5 inches

The new parallelogram has these dimensions:

• Length: 0.7 inches
• Height: 1 inch

The scale factor can be found by dividing the dimensions of the new parallelogram by the dimensions of the original parallelogram.

1. For the length: $$\text{Scale factor (length)}=\frac{\text{New length}}{\text{Original length}}=\frac{0.7}{5}=0.14$$

2. For the height: $$\text{Scale factor (height)}=\frac{\text{New height}}{\text{Original height}}=\frac{1}{3.5}=\frac{1}{3.5}=\frac{1}{(7/2)}=\frac{2}{7}\approx 0.2857$$

Since the scale factor should be the same for both dimensions in similar figures, there seems to be a discrepancy in the calculation using the areas. The correct scale factor that preserves the proportions of the figures based on the initial values provided gives us options of A (0.2), B (5), C (3.5), D (4).

It seems the provided options may not match the calculated scale factor based on the dimensions given. Based on the length and height calculations being less than 1 (indicating a reduction), none of the options directly match. Kindly verify if the dimensions provided are correct or if there’s more context to derive the correct scale factor recognized as a match from A, B, C, or D options. If these answers pertain to a specific set of dimensions, those should reflect a consistent height and length ratio. In normal context, derived values reflect actual scaling ratios helping to identify such adjustments.