## 21 - 24 Solved problems in maxima and minima

**Problem 21**

Find the rectangle of maximum perimeter inscribed in a given circle.

**Problem 22**

If the hypotenuse of the right triangle is given, show that the area is maximum when the triangle is isosceles.

**Problem 23**

Find the most economical proportions for a covered box of fixed volume whose base is a rectangle with one side three times as long as the other.

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