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11 Aug 2016, 06:43
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D
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Difficulty:
45%
(medium)
Question Stats:
72% (03:03) correct
28%
(03:01)
wrong
based on 167
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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)
A. 189
B. 378
C. 448
D. 756
E. 1,620
Attachment:
2016-08-11_1740.png [ 1.04 KiB | Viewed 10825 times ]
Given: height of window = 4.5 feet = 4.5*12= 54 inches
width of window = 2.5 feet = 2.5 *12 = 30 inches
Now given each wooden plank is 4 inches wide.
If you observe the figure width wise.. its => wood-glass-wood-glass-wood
=> 4inch+glass width+4inch+glass width+4inch= width of window = 30 inch
2* glass width = 30-12=18
=> glass width = 9inch
Same way if we observe window height wise.
wood 4inch
glass height
wood 4inch
glass height
wood 4inch
=Total height of window = 54 inch
=> 2*glass height = 54-12=42
glass height = 21
Now glass dimension = 21*9
Area of 4 glass windows = 4*9*21 = 756
Answer: D
+1 kudos if you like the solution.
width of window = 2.5 feet = 2.5 *12 = 30 inches
Now given each wooden plank is 4 inches wide.
If you observe the figure width wise.. its => wood-glass-wood-glass-wood
=> 4inch+glass width+4inch+glass width+4inch= width of window = 30 inch
2* glass width = 30-12=18
=> glass width = 9inch
Same way if we observe window height wise.
wood 4inch
glass height
wood 4inch
glass height
wood 4inch
=Total height of window = 54 inch
=> 2*glass height = 54-12=42
glass height = 21
Now glass dimension = 21*9
Area of 4 glass windows = 4*9*21 = 756
Answer: D
+1 kudos if you like the solution.
Attachments
Window with glass.jpg [ 1.17 MiB | Viewed 8415 times ]
General Discussion
11 Aug 2016, 08:11
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size of window is 4.5*12=54 inch high and 2.5*12=30 inch wide.
2 glasses combined width = 30 - (three 4 inch wood plancks) = 30-12 = 18
1 glass's width=9
2 glasses combined height = 54 - (three 4 inch wood plancks) = 54-12 = 42
1 glass's height = 21
Area of 1 glass = 21*9 = 189 inch^2
Area of 4 glass = 4*189 = 756 inch^2
Answer will be D.
2 glasses combined width = 30 - (three 4 inch wood plancks) = 30-12 = 18
1 glass's width=9
2 glasses combined height = 54 - (three 4 inch wood plancks) = 54-12 = 42
1 glass's height = 21
Area of 1 glass = 21*9 = 189 inch^2
Area of 4 glass = 4*189 = 756 inch^2
Answer will be D.
