Difficulty: Easy
Correct Answer: None of these
Explanation:
Introduction / Context:Cost of fencing equals cost per metre times perimeter. Translate cost into total perimeter, then solve the linear system given by the length–breadth relation and perimeter constraint.
Given Data / Assumptions:
Concept / Approach:Compute P from cost, then use P = 2(L + B) with L = B + 20 to find dimensions.
Step-by-Step Solution:
P = 5300 / 26.5 = 200 m2(L + B) = 200 ⇒ L + B = 100With L = B + 20 ⇒ (B + 20) + B = 100 ⇒ 2B = 80 ⇒ B = 40L = B + 20 = 60 mVerification / Alternative check:Perimeter = 2(60 + 40) = 200 m; cost = 200 * 26.5 = Rs 5300.
Why Other Options Are Wrong:The correct L is 60 m, which is not listed; thus “None of these” is correct.
Final Answer:None of these (actual length = 60 m).
Discussion & Comments