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  3. The figure above represents a window, with the shaded regions representing openi

The figure above represents a window, with the shaded regions representing openi

游客2025-02-27  46
问题 The figure above represents a window, with the shaded regions representing openings for glass and the pale regions representing the wood panels between and around the glass. If the window is 4.5 feet high by 2.5 feet wide, and if each of the wooden panels is exactly 4 inches thick, what is the total surface area, in square inches, of glass in the window?    (1 foot=12 inches; figure not drawn to scale)
选项 A、189
B、378
C、448
D、756
E、1,620
答案 D
解析 For this problem, you could calculate the dimensions of each of the four pieces of glass, but it is probably simplest to calculate the area of glass as if the four pieces were just one rectangular area of glass. If the window is 4.5 feet high, then it is 4.5×12=54 inches high. 54 inches minus the 3×4 inches for the wooden panels means that the glass in the window is 54-12=42 inches high. The window is 2.5 feet wide=30 inches; 30 inches minus 12 inches for the panels means that the glass is 18 inches wide. 42×18=756 square inches. Note that the figure is not drawn to the dimensions given in the question.
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