To Find: The side of the square with vertical and horizontal sides inscribed in the region.
The square side length is
Given:
Explanation:
White Region in the graph below contains the points
Such that the
In the symmetry of the White Region:
In this case, the square will be symmetrical about both the
The Image of
Consider in
So,
Hence, the
Hence, the
Hence,
Applying equation
Applying equation
The equation of the side length of the square:
So, in
The parabola lies on the vertex of the square, but the vertex is inscribed in the region:
Combine alike terms:
Add
Take square roots on both sides,
Though
So, the square side length is
Chapter 4 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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