SOLUTION: A window is in the shape of a rectangle surmounted by a semicircle. The height of the rectangle is 0.4m more than the width. The total area of the window is 10.4m2 find the width a

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Question 1104847: A window is in the shape of a rectangle surmounted by a semicircle. The height of the rectangle is 0.4m more than the width. The total area of the window is 10.4m2 find the width and height of the window.
Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Let the width of the rectangle = m
The height of the rectangle is m
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The area of the semicircle = m2
The total area is:
m2
m2

Rounding off:

Use quadratic formula

and

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The height, including semicircle is

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width = 2.586 m
height = 4.279 m
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check:

Looks close enough -error due to rounding off