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.
