Rectangular field ratio 5:4 and breadth 20 m less than length:\nFind the perimeter of the field (metres).

Difficulty: Easy

Correct Answer: 360m

Explanation:


Introduction / Context:
Translate ratio and difference into algebra, solve dimensions, and compute the perimeter.



Given Data / Assumptions:

  • L : B = 5 : 4; B = L − 20.


Concept / Approach:
Let L = 5x, B = 4x; then 4x = 5x − 20 ⇒ x = 20 ⇒ L = 100, B = 80.



Step-by-Step Solution:

Perimeter P = 2(L + B) = 2(100 + 80) = 360 m.


Verification / Alternative check:
Breadth 80 is indeed 20 less than length 100.


Why Other Options Are Wrong:
260, 280, 320 do not equal 2(180).


Common Pitfalls:
Assigning the difference to the wrong side.


Final Answer:
360m.

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