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January 29th, 2017, 05:07 AM   #1
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Smile Surface Area Related Q

The area of two side walls of a room is 782 sq m and that of two end walls 646 sq m. Find the dimensions of the room
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January 29th, 2017, 06:28 AM   #2
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The area of two side walls of a room is 782 sq m and that of two end walls 646 sq m. Find the dimensions of the room
23 x 19 x 17 works, as does 46 x 38 x 8.5 or 92 x 76 x 4.25 ... I could keep going.

suffice it to say $\dfrac{L}{W}=\dfrac{23}{19}$
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January 29th, 2017, 02:51 PM   #3
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Area of each side wall is 391m² and area of each end wall is 323m².

391 = 17×23 and 323 = 17×19 (These are the only integer factors)

Thus if the dimensions are limited to integer metric units, the dimension of each side wall is 27m by 17m, and the dimension of each end wall is 19m by 17m.
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January 30th, 2017, 06:03 AM   #4
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I just got back from a trip to Lilliput. The room there was 1 x 391 x 323.
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February 10th, 2017, 11:51 AM   #5
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Since the questions specifies "room" and not a "hall" I am assuming it is following standard building codes of 8' tall walls. Also the question has 3 significant digits. Therefore the dimensions are 2.44 m x 160 m x 132 m
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