P,Q,R are the three points of a triangle ABC such that AP:PB =2:5 and BQ:QC=2:5 and CR:RA =2:5 . find the ratio of the area of the triangle ABC and triangle PQR .
a tree is supported by a wire anchored in the ground 5 feet from its base. The wire is one foot longer than the height that it reaches on the tree. find the length of the wire