Math

one elegant hotel has a grand dining room. each of the room's three walls facing the gardens contains 8 insulated windows. the dimensions of the window are shown. when the windows were insulated, a glaze was applied to the exterior face to seal each window from weather elements. which of the following equations could the contractor have used to determine the amount of glaze, g, required?
A. g=(3*8)(36*60+1/2 pie*18^2)
B. g=(3*8)(36*60+pie*18^2)
C. g=(3*8)(36*60+1/2 pie*18)********
D. g=(3)(8*36*60+1/2 pie*18^2)

is this right sorry if I dont have the pic i dont know how to get it on here.

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  1. I guess you have 8 windows on each of three walls and they are 3 ft by 5 ft EACH with a semicircle above? If you are covering the area of the surface the area of the semicircle is (1/2) pi r^2 = (1/2) pi*18^2 and you need B

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  2. Thank you s-s-so much s-s-sorr-y I-I'm v-v-very s-s-s-skit-t-t-tis-s-sh. (Small smile) (Tiny meow)

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  3. forgot it was semicircles

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  4. The answer would be: A. g=(3*8)(36*60+1/2 pie*18^2)

    The function would be: g= a*b*c  where
    a= number of wall = 3
    b= number of windows per wall = 8
    c= the area of the window

    The windows is made from a half circle and a rectangle. The area of each shape would be:
    rectangle: 36 inch * 60 inch
    half circle: 1/2 * pi * 18inch^2

    total windows area= rectangle area + half circle area 
    total windows area= (36* 60 + 1/2 * pi * 18^2)

    Then the function would be:
    g= a*b*c 
    g= 3 * 8  *  (36* 60 + 1/2 * pi * 18^2)

    A. g=(3*8)(36*60+1/2 pie*18^2)   ----> true
    B. g=(3*8)(36*60+pie*18^2)        ----> false circle area, the circle isn't half
    C. g=(3*8)(36*60+1/2 pie*18)      ------> false circle area, the radius is not ^2
    D. g=(3)(8*36*60+1/2 pie*18^2)  -------> only the rectangle multiplied by 8

    God Bless you!!!

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