[실생활 수학] 울타리 길이를 최소로 만드는 비법? 산술·기하평균 활용! #amgm #manim #mathanimation #산술기하평균 #고1수학 #수학문제풀이 #Manim

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To minimize the perimeter of a rectangular area with a fixed area of 32 m², the AM-GM inequality (arithmetic mean ≥ geometric mean) can be applied: for a rectangle with sides x and y where xy = 32, the perimeter P = x + 2y is minimized when x = 2y, yielding the minimum perimeter of 24 meters. This demonstrates how the AM-GM inequality provides an efficient method for solving optimization problems in real-world scenarios.