In a triangle ABC, P and Q are points on AB and AC, respectively, such that AP = 1 cm, PB = 3 cm, AQ = 1.5 cm, and CQ = 4.5 cm. If the area of △APQ is 12 cm2, then find the area of BPQC.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 180 cm2
In a triangle ABC,
AP/AB = 1/4 , AQ/AC = 1.5/6 = 1/4.
So one can say that, PQ || BC.
APQ is similar to ABC.
Area of APQ : Area of ABC = (1/4)2
12/ Area of ABC = 1/16
Area of ABC = 192
Area of BPQC = 192 - 12 = 180 cm2