Points P and Q lie on side AB and AC of triangle ABC respectively such that segment PQ is parallel to side BC. If the ratio of AP:PB is 1:4 and area of ? APQ is 4 sq cm, what is the area of trapezium PQCB?
2. Two circles touch externally. The sum of their areas is 130? sq.cm and the distance between their centers is 14 cm. The radius of the bigger circle is
6. In ?DEF, G and H are points on side DE and DF respectively. GH is parallel to EF. If G divides DE in the ratio 3:2 and HF is 8 cm, then the length of DF is
8. ? DEF and ? GHI are similar triangles. Length of AB is 10 cm and length of the corresponding side DE is 6 cm. What is the ratio of Perimeter of ?ABC to ?DEF?