Question

quadrilateral l
quadrilateral m
what scale factor takes quadrilateral l to quadrilateral

Explanation:

Step1: Recall scale - factor formula

The scale factor $k$ from one figure to another is found by dividing the corresponding side - length of the second figure by the corresponding side - length of the first figure. Let's use the given side - lengths $\frac{3}{4}$ and $\frac{3}{5}$. The formula for the scale factor $k=\frac{\text{side length in M}}{\text{side length in L}}$.

Step2: Calculate the scale factor

$k = \frac{\frac{3}{4}}{\frac{3}{5}}=\frac{3}{4}\times\frac{5}{3}=\frac{5}{4}$

Answer:

$\frac{5}{4}$