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What is the largest rectangle that can be inscribed in this ellipse?

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Final answer:

The largest rectangle that can be inscribed in an ellipse is a square. To find the largest square that can fit inside the ellipse, we need to find the length of its side.

Step-by-step explanation:

The largest rectangle that can be inscribed in an ellipse is a square.

To find the largest square that can fit inside the ellipse, we need to find the length of its side.

  1. First, we need to find the length of the major axis and the length of the minor axis of the ellipse.
  2. The length of the side of the largest inscribed square will be equal to the length of the shorter axis of the ellipse.
  3. So, the largest square that can be inscribed in the ellipse will have sides equal to the length of the minor axis of the ellipse.

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User Jlsiewert
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