Rectangular field — Length:breadth = 5:4 and breadth is 20 m less than length. Find the perimeter.

Difficulty: Easy

260 m
280 m
360 m
None of these
300 m

Correct Answer: 360 m

Explanation:

Introduction / Context:
Combine a ratio with a difference condition to solve for actual side lengths, then compute perimeter.

Given Data / Assumptions:

L:B = 5:4
L − B = 20 m

Concept / Approach:
Let L = 5k, B = 4k ⇒ L − B = k = 20 ⇒ k = 20. Then find L and B and perimeter P = 2(L + B).

Step-by-Step Solution:
L = 100 m, B = 80 mP = 2(100 + 80) = 360 m

Verification / Alternative check:
Ratio holds (100:80 = 5:4) and difference is 20.

Why Other Options Are Wrong:
260, 280, 300 m do not match 2(L + B) with the solved dimensions.

Common Pitfalls:
Using 5k + 4k = 20 instead of 5k − 4k = 20.

Final Answer:
360 m

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