Problema Solution
You are designing a house with 3 windows each 3ft. wide. There are 4 ft. between each window and the edge of the house. The width of the house is 46 ft. How far apart should the windows be? Write an equation to model this problem.
Answer provided by our tutors
(3 x width of a window) + (2 x distance to edge of house) + (2 x separation of windows) = 46 ft
(2 x separation of windows) = 46 - (3 x width of a window) - (2 x distance to edge of house)
(separation of windows) = (1/2)*(46 - (3 x width of a window) - (2 x distance to edge of house))
separation of windows = (1/2)*(46 - 3*3 - 2*4)
separation of windows = (1/2)*(46 - 9 - 8)
separation of windows = (1/2)*29
separation of windows = 14.5 ft
Indeed
(3 x width of a window) + (2 x distance to edge of house) + (2 x separation of windows) = 46
3*3 + 2*4 + 2*14.5 = 46
9 + 8 + 29 = 46
46 = 46
The windows should be 14.5 ft apart.