Question

find the length of side x and side y given that the trapezoids are similar.
(simplify your answers. type integers or decimals.)

Explanation:

Step1: Find the scale - factor

Since the trapezoids are similar, we can find the scale - factor by comparing corresponding sides. Let's compare the vertical sides. The ratio of the vertical sides is $\frac{22.75}{13}=1.75$.

Step2: Find the length of side x

Side x corresponds to side 11. Using the scale - factor, we have $x = 11\times1.75=19.25$.

Step3: Find the length of side y

Side y corresponds to side 12. Using the scale - factor, we have $y = 12\times1.75 = 21$.

Answer:

$x = 19.25$, $y = 21$