The perimeter of two similar ∆ABC and ∆PQR are 48.4 cm and 12.1 cm, respectively. What is the ratio of the areas of ∆ABC and ∆PQR?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 16 : 1
Arera of ∆ABC/Area of ∆PQR = (Perimeter of ∆ABC/ Perimeter of ∆PQR)
Arera of ∆ABC/Area of ∆PQR = [(48.4)/(12.1)]2
⇒ Arera of ∆ABC/Area of ∆PQR = (4/1)2 = 16/1