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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\

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3 Sandra admires a beautiful stained glass window in a museum: The window is shown-example-1
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1 Answer

14 votes

Answer:

F)
380(4)/(7)ft^2

Explanation:

Find the area of each part

Area of right triangle:
A=(1)/(2)bh=(1)/(2)(6)(18)=(3)(18)=54ft^2

Area of rectangle:
A=bh=(12)(18)=216ft^2

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

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

Add up all the areas


A=54ft^2+216ft^2+54ft^2+56(4)/(7)ft^2=380(4)/(7)ft^2