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Wildcat
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Homework Statement
A square of perimeter 20 is inscribed in a square of perimeter 28. What is the greatest distance between a vertex of the inner square and a vertex of the outer square.
A square inscribed in a square is when a smaller square is drawn inside a larger square, where all four corners of the smaller square touch the sides of the larger square.
The area of a square inscribed in a square is calculated by taking the length of one side of the smaller square and squaring it, then multiplying by 2. This is because the smaller square is half the size of the larger square in terms of area.
The relationship between the side lengths of a square inscribed in a square is that the length of the smaller square's side is equal to the length of the larger square's side divided by the square root of 2.
Yes, a square inscribed in a square can be rotated. As long as the smaller square maintains its position inside the larger square, it can be rotated at any angle.
One real-life application of a square inscribed in a square is in architecture, where it can be used as a design element in buildings. It can also be used in geometric puzzles and in the design of logos and symbols.