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 appplied 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)
I don't know.
I don't know the dimensions of the windows.
I don't know what pie (or pi) has to do with these windows. I assume the windows are rectangular.
there are anyway i can send you the picture?
No.
To determine the amount of glaze required for the insulated windows, we need to find the total area of the exterior face of all the windows.
Each wall has 8 insulated windows, so there are a total of 3 walls x 8 windows = 24 windows.
The dimensions of each window are not provided, so we cannot calculate the exact area. However, the equation that would give us the total area of the exterior face of all the windows is:
g = (number of windows) x (area of each window)
Let's evaluate each option to see which one matches this equation:
A. g = (3*8)(36*60+1/2 π*18^2)
- This equation includes the correct number of windows (3*8), but the calculation for the area of each window seems incorrect. The term (36*60+1/2 π*18^2) doesn't make sense for calculating the area of a rectangle window.
B. g = (3*8)(36*60+π*18^2)
- This equation includes the correct number of windows (3*8) and the correct calculation for the area of each window (π*18^2). It matches our equation.
C. g = (3*8)(36*60+1/2 π*18)
- This equation again includes the correct number of windows (3*8), but the calculation for the area of each window doesn't seem correct. The term (36*60+1/2 π*18) is not a valid way to calculate the area of a rectangle window.
D. g = (3)(8*36*60+1/2 π*18^2)
- This equation only considers the total number of windows without multiplying it by the area of each window. It doesn't match our equation for calculating the total area.
Based on the analysis above, option B is the only equation that makes sense for determining the amount of glaze required:
g = (3*8)(36*60+π*18^2)