Respuesta :

Answer:

[tex]a=22.5\ units[/tex]

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal

so

In this problem

If polygon RSUPE is similar to polygon KQUIC

then

[tex]\frac{RS}{KQ}=\frac{RE}{KC}[/tex]

substitutes the values and solve for a

[tex]\frac{a+2}{14}=\frac{17.5}{10}\\ \\10a+20=14*17.5\\ \\10a=245-20\\ \\a=225/10\\ \\a=22.5\ units[/tex]