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7. scale factor= ____ missing side length = ____

Question

  1. scale factor= __ missing side length = __

Explanation:

Step1: Find the scale factor

The corresponding sides of the two parallelograms are 16 (from the first) and 12 (from the second). The scale factor is the ratio of the length of the side in the second figure to the length in the first figure. So, scale factor $= \frac{12}{16} = \frac{3}{4}$.

Step2: Find the missing side length

The side corresponding to 20 in the first figure. Using the scale factor, the missing side length is $20\times\frac{3}{4} = 15$.

Answer:

Scale Factor = $\frac{3}{4}$, Missing Side length = 15