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3 Sandra admires a beautiful stained glass window in a museum: The window is shown in the figure. 18 ft F6 ft 12 ft How many square feet of glass is used to create the window\

PLS HELP ME I BEG U

3 Sandra Admires A Beautiful Stained Glass Window In A Museum The Window Is Shown In The Figure 18 Ft F6 Ft 12 Ft How Many Square Feet Of Glass Is Used To Creat class=

Sagot :

Answer:

F) [tex]380\frac{4}{7}ft^2[/tex]

Step-by-step explanation:

Find the area of each part

Area of right triangle: [tex]A=\frac{1}{2}bh=\frac{1}{2}(6)(18)=(3)(18)=54ft^2[/tex]

Area of rectangle: [tex]A=bh=(12)(18)=216ft^2[/tex]

Area of left triangle: [tex]A=54ft^2[/tex] (this is because both triangles are congruent)

Area of semicircle: [tex]A=\frac{1}{2}\pi r^2=\frac{1}{2}(\frac{22}{7})(\frac{12}{2})^2=\frac{22}{14}(6)^2=\frac{11}{7}(36)=56\frac{4}{7}ft^2[/tex]

Add up all the areas

[tex]A=54ft^2+216ft^2+54ft^2+56\frac{4}{7}ft^2=380\frac{4}{7}ft^2[/tex]

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