Find the perimeter of the given triangle

Here it is given that the triangles ABP and DCR are similars, therefore we use the ratio rule which states that
corresponding sides of similar triangles are in same proprtion .
[tex] \frac{AB}{DC} = \frac{BP}{CR} [/tex]
that gives
7/10 = BP/11
7*11=10BP
BP=7.7
Again using the ratio rule
[tex] \frac{AB}{DC} = \frac{AP}{DR} [/tex]
7/10 = AP/6
42 = 10AP
AP = 4.2
Perimeter= AB+BP+AP = 7+7.7+4.2 = 18.9
Correct option is A.