Question

PLEASE PLEASE PLEASE HELP!!

Can someone please help me with a step by step of this problem ? I'll seriously appreciate it, and thank you so so so much in advance!!
DON'T ANSWER IF YOU'RE UNSURE!!! I need actual help, please don't just take my points. :c

Answer 1

since the polygons ABCD and LMNK are similar then the sides will have the same size ratio so then put 6 over 58 = 3 over x  then cross multiply so you get 6x=174 so x equals 29