The area of the window is
The shape of the Norman window is described as a rectangle surmounted by a semicircle.
Let 'x' be the width of the window.
Then this width corresponds to the diameter of the semicircle.
That is, radius of the semicircle = x/2
Now given the perimeter of the whole window = 25 ft
This perimeter is equal to the sum of 3 sides of the rectangle and the perimeter of the semicircle.
Perimeter of the semicircle = , where r is the radius of the semicircle.
Now let 'y' be the length of the window.
Then sum of three sides of the window = 2y + x
So 2y + x + = 25
Therefore,
Area of the window = Area of the semicircle + Area of the rectangle =
So Area of the window =
Learn more about area of circle and rectangle at brainly.com/question/4694841
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