Total cost of replacing the tinted glass of window, which costs $23 per square foot is $749 (approx).
How to find the area of the composite figures?
To find area of the composite figures,
- Calculate the area of the each figure by which the composite figure is made of.
- Add the area of all the individual figures to get the total area of composite figures
The cost of the glass is $23 per square foot and the glass needed for the window has two semicircle and one rectangle.
As the glass needed for the window has two semicircle and one rectangle. Thus to find the cost of the glass, we have to find the total area of glass.
Area of rectangle glass-
- The width of the rectangle has 4 units which means the width of rectangle is 4 foot.
- The length of the rectangle has 5 units which means the length of rectangle is 5 foot.
Thus the area of the rectangle glass-
[tex]A_r=4\times5\\A_r=20\rm ft^2[/tex]
Area of 2 semicircle glass-
The radius of the semicircle has in two units, thus the radius of the semicircle is 2 foot. Therefore area of 2 semicircle glass-
[tex]A_c=2\times\dfrac{1}{2}\pi \times(2)^2\\A_c=12.57\rm ft^2[/tex]
Thus the total area of the glass is,
[tex]A=20+12.57\\A=32.57\rm ft^2[/tex]
As, the glass costs $23 per square foot and the area of the total glass for window is 32.57 square foot. Thus the total cost to replace the glass is,
[tex]C=23\times 32.57\\C\cong 749[/tex]
Thus the total cost to replace the glass is $749 (approx).
Learn more about the area of composite figures here;
https://brainly.com/question/10792617
