Answer:

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Step-by-step explanation:

We are given that

AB= 9, per(∆ABC)=25, per(∆DEF)=15

Make a ∆ABC and ∆DEF

Such that AB is corresponding DE

PER(∆ABC)/PER(∆DEF)=AB/DE+BC/EF+AC/DF _this is the property

Now, per(∆ABC)/per(∆DEF)=AB/DE

We get 25/15=9/DE

25DE=9×15

DE=135/25

=5.4(ANS)