Question: Let D be a bounded, but otherwise arbitrary, region in the first quadrant. Given an angle Î¸. 0 ¤ Î¸ ¤ Ï/2, D can be

Let D be a bounded, but otherwise arbitrary, region in the first quadrant. Given an angle Î¸. 0 ‰¤ Î¸ ‰¤ Ï€/2, D can be circum-scribed by a rectangle whose base makes angle 0 with the x-axis as shown in Figure 15. Prove that at some angle this rectangle is a square. (This means that any bounded region can be circum-scribed by a square.)

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