The missing side of the first trapezoid is 15 m and the scale factor is 3/10.
And the missing side of the second trapezoid is 18 m and the scale factor is 3/5.
We have to determine, the trapezoids are similar shapes. Find the scale factor and missing sides.
According to the question,
In a trapezoid, if both pairs of its opposite sides are parallel and all its sides are of equal length and at right angles to each other then it is a square.
Then,
The missing side of the first trapezoid is 15m and the missing side of the second trapezoid is 18m.
And the scale factor of the first trapezoids are similar shapes is,
[tex]\rm Scale \ factor = \dfrac{Side\ of \ first \ trapezoid}{Base\ of \ first \ trapezoid}\\\\ Scale \ factor =\dfrac {15}{50}\\\\ Scale \ factor =\dfrac{3}{10}[/tex]
The scale factor of the second trapezoids are similar shapes is,
[tex]\rm Scale \ factor = \dfrac{Side\ of \ second \ trapezoid}{Base\ of \ second \ trapezoid}\\\\ Scale \ factor =\dfrac {18}{30}\\\\ Scale \ factor =\dfrac{3}{5}[/tex]
For more details refer to the link given below.
https://brainly.com/question/8765466
