Linda is painting her bedroom. Her bedroom has 4 walls, with the room being 20 feet wide by 20 feet long by 8 feet tall. One wall has a 3-foot by 7-foot doorway. A second wall has a 6-foot by 4-foot window. A third wall has a 5-foot by 7-foot doorway to a walk-in-closet. And the fourth wall is completely solid. What is the total area of wall space that Linda will have to paint?
Thoughts? Step-by-step reasoning:
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The solid wall is 8 ft. * 20 ft. = 160 sq. ft. The doorway is 3 ft. * 7 ft. = 21 sq. ft. The window is 6 ft. * 4 ft. = 24 sq. ft. The closet door is 5 ft. * 7 ft. = 35 sq. ft. The total area of the doors and windows is 21 sq. ft + 24 sq. ft. + 35 sq. ft. = 80 sq. ft. The solid wall is 160 sq. ft., so before the areas of the doors and window are taken into account, the total wall area is 4 * 160 sq. ft. = 640 sq. ft. Taking into account the doors and window, the total wall area Linda will have to paint is 640 sq. ft. - 80 sq. ft. = 560 sq. ft.
Thus, the answer is 560.
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