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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.2 Maximum and Minimum Problems, #52 · Calculus · Optimization

Draw a kite that has a triangle with sides … next to…

Draw a kite that has a triangle with sides $1, 1, 2 x$ next to a triangle with sides $2 x, 2, 2$ . Find the area $A$ and the $x$ that maximizes it. Hint: In $d A / d x$ simplify $1 - x^{2} - x^{2} / 1 - x^{2}$ to $(1 - 2 x^{2}) / 1 - x^{2}$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.2 Maximum and Minimum Problems, #52

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