A farmer wants to fence a rectangular garden using 100 m of fencing. The maximum area he can enclose is: A. 400 m² B. 625 m² C. 2500 m² D. 1000 m² Answer: B) 625 m² Explanation: Perimeter = 2(l+b) = 100 → l+b = 50. Area A = l(50-l) = 50l - l². A' = 50 - 2l = 0 → l = 25. Max Area = 25 × 25 = 625 m².

imo class 12 application of derivatives

A farmer wants to fence a rectangular garden using 100 m of fencing. The maximum area he can enclose is:

VAVidaara Admin Asked 6d ago 0 views 0 answers

A farmer wants to fence a rectangular garden using 100 m of fencing. The maximum area he can enclose is:

Answer: B) 625 m²

Explanation: Perimeter = 2(l+b) = 100 → l+b = 50. Area A = l(50-l) = 50l - l². A' = 50 - 2l = 0 → l = 25. Max Area = 25 × 25 = 625 m².