Rectangle vs square – length is 20% more than breadth:\nA rectangle has length 20% greater than its breadth. What is the ratio of the area of this rectangle to the area of a square whose side equals the rectangle’s breadth?

Introduction / Context:
When one dimension is scaled by a percentage, area scales by the same factor for rectangles with the other dimension unchanged.

Given Data / Assumptions:

• Breadth = b.
• Length = 1.2b (20% more).
• Comparison square side = b.

Concept / Approach:
Area(rectangle) = 1.2b^2. Area(square) = b^2. Ratio = 1.2 : 1 = 6 : 5.

Step-by-Step Solution:

Verification / Alternative check:
Direct factor approach yields the same 1.2 ⇒ 6:5.

Why Other Options Are Wrong:
2:1 overstates; 5:6 inverts; “data inadequate” is incorrect.

Common Pitfalls:
Confusing percentage increase with fraction of breadth.

Final Answer:
6:5.