The length of a rectangular plot is 20 m more than its breadth. If fencing costs ₹26.50 per metre and the total fencing cost is ₹5,300, what is the length of the plot (in metres)?

Problem restatementFrom fencing cost and unit rate, find the perimeter. Use the length–breadth relation to determine the dimensions.

Given data

• Length L = B + 20.
• Fencing rate = ₹26.50 per metre; total cost = ₹5,300.

Concept/ApproachPerimeter P = 2(L + B). Cost = P × rate ⇒ P = Cost / rate.

Step-by-Step calculation P = 5300 / 26.5 = 200 m 2(L + B) = 200 ⇒ L + B = 100 But L = B + 20 ⇒ (B + 20) + B = 100 2B = 80 ⇒ B = 40 m L = B + 20 = 60 m

Verification/AlternativePerimeter = 2(60 + 40) = 200 m; cost = 200 × 26.5 = ₹5,300 (checks).

Final Answer60 m