The areas of two squares are in the ratio 25 : 9. What is the ratio of their perimeters?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 5 : 3
The area of a square is side\(^2\) and its perimeter is \(4\times\) side, so the ratio of perimeters equals the ratio of sides, which is the square root of the ratio of areas.
Ratio of sides \(=\sqrt{25}:\sqrt{9}=5:3\)
Ratio of perimeters \(=4\times5:4\times3=5:3\)