To calculate : the ratio of the area of the shaded region to the area of the unshaded region.

Answer to Problem 43E
The ratio of the area of the shaded region to the area of the unshaded region is
Explanation of Solution
Given information :
Length of each side of square is given as
The shaded region is a tringle having base and height equal to
Formula used :
Formula used for area of square,
Formula used for area of
Calculation :
The ratio of the area of the shaded region to the area of the unshaded region can be derived as,
Area of unshaded region = area of square − area of shaded region.
The area of square,
The area of the shaded region or triangle,
Area of unshaded region = area of square − area of shaded region
Area of unshaded region =
Area of unshaded region =
The ratio of the area of the shaded region to the area of the unshaded region can be derived as,
The ratio of area of shaded region : ratio of area of unshaded region
Therefore,
The ratio of the area of the shaded region to the area of the unshaded region is
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