the sides that correspond that are listed are PR & DE and WE & AR. Corresponding sides of similar plolygons are proportional so we can set up a proportion to find the missing side length AR.
[tex] \frac{PR}{DE} = \frac{AR}{WE} [/tex]
substitute
[tex] \frac{27}{15} = \frac{AR}{25}[/tex]
Cross multiply
27*25 = AR*15 Simplify 675 = 15*AR Divide both sides by 15