Question

parallelogram c is a scaled copy of parallelogram b.
parallelogram b has a side labeled 12\frac{1}{2} and a side labeled 35. parallelogram c has a side labeled 8\frac{3}{4} and a side labeled 24\frac{1}{2}.
what scale factor takes parallelogram b to parallelogram c?

Explanation:

Step1: Convert mixed numbers to fractions

$12\frac{1}{2} = \frac{25}{2}$, $8\frac{3}{4} = \frac{35}{4}$

Step2: Calculate scale factor

Scale factor = $\frac{\text{Side of C}}{\text{Side of B}} = \frac{35/4}{25/2} = \frac{35}{4} \times \frac{2}{25} = \frac{70}{100} = \frac{7}{10}$

Answer:

$\frac{7}{10}$