Area of a rectangle is 460 sq m. If the length is 15% more than the breadth, find the breadth of the rectangular field in metres.

Introduction / Context:The question examines percentage-based relation between sides and area calculation inversion to retrieve a side length.

Given Data / Assumptions:

• Area A = 460 sq m
• L = 1.15 * B

Concept / Approach:Area A = L * B = 1.15 * B^2. Solve for B via B^2 = A / 1.15.

Step-by-Step Solution:

Verification / Alternative check:L = 1.15 * 20 = 23 m. Area check: 23 * 20 = 460 sq m. Correct.

Why Other Options Are Wrong:30 m, 40 m, 50 m, 25 m produce areas inconsistent with 460 given the 15% relation.

Common Pitfalls:Using 1.15 incorrectly as 15 or 0.15; or taking square root before dividing by 1.15.

Final Answer:20 m