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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.2 Maximum and Minimum Problems, #41 · Calculus · Optimization

With no fixed wall, the sides of the rectangle satisfy

With no fixed wall, the sides of the rectangle satisfy $2 x + 2 y = 200$ . Maximize the area. Compare with the area of a circle using the same fencing.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.2 Maximum and Minimum Problems, #41

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