Question 397391
The Norman window with dimensions as shown is a rectangle topped by a semicircle.
 If the area of the window is 68.2 square feet, find its height h.
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some facts about this
The bottom of the rectangle is given as 6', that is also the diameter of the semicircle.
therefore: the radius of the semicircle is 3'
also the height of the rectangle would be (h-3) 
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Given; Semicircle area + rectangle area = 68.2
{{{.5*pi*3^2}}} + [6*(h-3)] = 68.2
Calculate the area of the semi circle
14.137 + 6h - 18 = 68.2
Combine the numbers on the right:
6h = 68.2 - 14.137 + 18
6h = 72.06
h = {{{72.06/6}}}
h = 12.01 is the height
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Check this by finding the area of the rectangle
height of rectangle 12.01 - 3.01 = 9.01
Rectangle Area: 9.01 * 6 = 54.06
Add the semi-circle area:  14.137
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Total area of the window:  68.197 ~ 68.2
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Did I make this understandable to you?