\(\triangle ABC\) is similar to \(\triangle PQR\). If the ratio of their perimeters is 5 : 7, what is the ratio of their areas?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 25 : 49
For similar triangles the ratio of perimeters equals the ratio of corresponding sides, and the ratio of areas is the square of the ratio of sides.
Ratio of sides \(=5:7\)
Ratio of areas \(=5^2:7^2=25:49\)