document.write( "Question 850062: A square room is 3m height and 10 litre is needed to paint all the walls and ceiling. If 1 litre of the paint will cover 16 square metres, write an equation and find the length of the room.? \n" ); document.write( "
Algebra.Com's Answer #511947 by josgarithmetic(39617)\"\" \"About 
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Total area to paint of the room ignoring windows or door: \"3%2A3%2A5%2Am%5E2\".
\n" ); document.write( "The description already specified, \"square room\"; all edges of this room are 3 meters.\r
\n" ); document.write( "\n" ); document.write( "Amount of paint to use: \"3%2A3%2A5%2Am%5E2%281%2Aliter%2F%2816%2Am%5E2%29%29=%2845%2F16%29%2Aliters\";
\n" ); document.write( "That was probably not what you wanted.\r
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\n" ); document.write( "\n" ); document.write( "Maybe you are trying this:
\n" ); document.write( "The room is square around the floor, but this room is 3 meters high.
\n" ); document.write( "Let d = side length of the square shaped floor of this room. The total surface to be painted, the walls and the cieling, is \"4%2A3%2Ad%2Bd%5E2=d%5E2%2B12d\".
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\n" ); document.write( "The 10 liters of paint used means that, according to usage ratio, the area covered was \"10%2Aliter%2816%2Am%5E2%29%2F%281%2Aliter%29=160%2Am%5E2\" of surface.\r
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\n" ); document.write( "\n" ); document.write( "Those two surface areas must be equal.
\n" ); document.write( "\"highlight_green%28d%5E2%2B12d=160%29\".
\n" ); document.write( "Solve for d, which is as much the room length as it is the room width. (Remember, square room, at least for the floor and the cieling).
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\n" ); document.write( "160=2*5*4*4=20*8
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\n" ); document.write( "\"d%5E2%2B12d-160=0\"
\n" ); document.write( "\"%28d%2B20%29%28d-8%29=0\"
\n" ); document.write( "\"highlight%28highlight%28d=8%29%29\"------- Room length or width must be 8 meters.
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