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06 Nov 2017, 22:55
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B
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Difficulty:
25%
(medium)
Question Stats:
72% (01:43) correct
28%
(01:26)
wrong
based on 79
sessions
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The pages of a book are 24 centimeters high and 15 centimeters wide. Each page has a margin of 3 centimeters at the top and at the bottom, and a 2-centimeter margin on each side. What is the total area, in square centimeters, occupied by the margins on each page?
(A) 138
(B) 162
(C) 180
(D) 186
(E) 198
(A) 138
(B) 162
(C) 180
(D) 186
(E) 198
06 Nov 2017, 23:50
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Area of complete page (including margins) = 24*15 = 360 square cm
Now, if we exclude the margins, then:
Height = 24-3-3 = 18 cm and Width = 15-2-2 = 11 cm
So, Area of page excluding margins = 18*11 = 198 square cm
Hence Area of margins = Total area - Area excluding margins = 360 - 198 = 162 square cm
Hence B answer
Now, if we exclude the margins, then:
Height = 24-3-3 = 18 cm and Width = 15-2-2 = 11 cm
So, Area of page excluding margins = 18*11 = 198 square cm
Hence Area of margins = Total area - Area excluding margins = 360 - 198 = 162 square cm
Hence B answer
07 Nov 2017, 06:02
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We need to solve backwards: Entire page area - unwanted area
Any area = width * length
Entire page = 15 * 24 = 360
Unwanted area:
length: 24 - 3 - 3 = 18 (two subtractions for the top and bottom of the page)
width: 15 - 2 -2 = 11 (two subtractions for the right and left part of the page)
11 * 18 = 198
360 - 198 = 162
B is the answer
Any area = width * length
Entire page = 15 * 24 = 360
Unwanted area:
length: 24 - 3 - 3 = 18 (two subtractions for the top and bottom of the page)
width: 15 - 2 -2 = 11 (two subtractions for the right and left part of the page)
11 * 18 = 198
360 - 198 = 162
B is the answer
