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Answer:
Step-by-step explanation:
That will be a square with a diagonal of 20
side length of 20sin45
and area of (20sin45)² = 200 units²
prove it you say?
Area of a rectangle is base times height
A = bh
With a radius of 10, the diagonals of any rectangle inscribed will be 20 units
20² = b² + h²
h =
A = bh
A = b
Area will be maximized when the derivative is set to zero
dA/db = - b²/
0 = - b²/
b²/ =
b² = 400 - b²
2b² = 400
b² = 200
b =
h =
h =
h =
A = bh
A = •
A = 200 units²