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WOLFRAM|DEMONSTRATIONS PROJECT

The Area of a Square in a Square

b = distance from vertex
2.67949
answer
solution
steps
1
2
3
Given a square with side length
a=10
and parallel lines with slopes
a/b
and perpendicular lines with slopes
-b/a
, find the area of the shaded square. Also find the ratio
a/b
that makes the area of the inner square equal to 50% of the outer square.
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