
Concept explainers
To find: The sum of the perimeters of the two shaded rectangles.

Answer to Problem 42HP
The sum of the perimeters of the two shaded rectangles is
Explanation of Solution
Given information:
The given figure is:
The areas of the two smaller squares are
Concept used:
Area of square is given as:
Perimeter of the rectangle is the sum of the all sides.
The side of the square with area
Further simplified for the side of the square with area
The perimeter of the 1 shadedrectangle is calculated as:
Therefore, the sum of the perimeters of the two shaded rectangles is
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Algebra 2
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