The diagonals of two squares are in the ratio 2 : 5. Find the ratio of their areas.

Introduction / Context:For squares, area is proportional to the square of any linear dimension (side, diagonal). Hence, the ratio of areas equals the square of the ratio of diagonals.

Given Data / Assumptions:

• Diagonal ratio d1 : d2 = 2 : 5.

Concept / Approach:Area ∝ (diagonal)^2; thus A1 : A2 = (2^2) : (5^2) = 4 : 25.

Step-by-Step Solution:

Why Other Options Are Wrong:They do not square both numbers or square only one term.

Final Answer:4:25