△ABC ∼ △ LMN and their perimeters are 72 cm and 48 cm, respectively. If LM = 8 cm, then what is the length of AB (in cm)?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 12.
Ratio of perimeters = Ratio of corresponding sides
AB/LM = 72/48 = 3/2:
⇒ AB = (3/2) × LM = (3/2) × 8 = 12 cm