Question

1. apply math models is the ratio of length to width equivalent for these two rectangles? explain.

Explanation:

Step1: Find ratio of first rectangle

$\frac{\text{Length}}{\text{Width}} = \frac{12}{8} = \frac{3}{2}$

Step2: Find ratio of second rectangle

$\frac{\text{Length}}{\text{Width}} = \frac{20}{16} = \frac{5}{4}$

Step3: Compare the two ratios

$\frac{3}{2} = 1.5$, $\frac{5}{4} = 1.25$; $1.5
eq 1.25$

Answer:

The ratios are not equivalent. The length-to-width ratio of the first rectangle is $\frac{3}{2}$ and the ratio of the second rectangle is $\frac{5}{4}$, which are not equal.