Correct Answer - Option 2 : 25 ∶ 49
Given:
The perimeters of ΔABC = 35 cm
The perimeters of ΔDEF = 49 cm
And ΔABC ~ ΔDEF
Concept Used:
When ΔABC ~ ΔDEF
ar(ΔABC)/ar(ΔDEF) = (Perimeter of ΔABC)2/(Perimeter of ΔDEF)2
Calculation:
According to the question, we have
(Perimeter of ΔABC)/(Perimeter of ΔDEF) = 35/49
⇒ (Area of ΔABC)/(Area of ΔDEF) = (35)2/(49)2
⇒ (35 × 35)/(49 × 49)
⇒ (5 × 5)/(7 × 7)
⇒ 25/49
∴ The ratio of their area is 25 ∶ 49.
