document.write( "Question 100028: the length of a room is two and half times its width. if the perimeter of the floor of the room is 70 m. find the length & width of the room. \n" ); document.write( "
Algebra.Com's Answer #72840 by doukungfoo(195)\"\" \"About 
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Perimeter is equal to the sum of all sides.
\n" ); document.write( "Since there are two sides that represent the length
\n" ); document.write( "and two sides that represent the width we can say the
\n" ); document.write( "perimeter = 2 times the length plus 2 times the width
\n" ); document.write( "OR
\n" ); document.write( "P = 2L + 2W
\n" ); document.write( "The problem tells us that the perimeter is 70 meters
\n" ); document.write( "so we can plug that in for P
\n" ); document.write( "70 = 2L + 2W
\n" ); document.write( "The problem also tells us that the length is two and half times the width
\n" ); document.write( "so \"L=2%261%2F2%28W%29\"
\n" ); document.write( "now we can plug that into the perimeter equation like this
\n" ); document.write( "\"70=2%282%261%2F2%28W%29%29%2B2W\"
\n" ); document.write( "Now we have and equation with only one variable W (width)
\n" ); document.write( "so lets solve for w
\n" ); document.write( "\"70=2%282%261%2F2%28W%29%29%2B2W\"
\n" ); document.write( "\"70=2%28%285W%29%2F2%29%2B2W\"
\n" ); document.write( "\"70=10W%2F2%2B2W\"
\n" ); document.write( "\"70=10W%2F2%2B4W%2F2\"
\n" ); document.write( "\"70=14W%2F2\"
\n" ); document.write( "\"140=14W\"
\n" ); document.write( "\"10=W\"
\n" ); document.write( "so we have found the width to be 10 meters
\n" ); document.write( "As stated above \"L=2%261%2F2%28W%29\"
\n" ); document.write( "so we can replace the W with 10 and solve for the length
\n" ); document.write( "\"L=2%261%2F2%28W%29\"
\n" ); document.write( "\"L=2%261%2F2%2810%29\"
\n" ); document.write( "\"L=%285%2F2%29%2810%29\"
\n" ); document.write( "\"L=50%2F2\"
\n" ); document.write( "\"L=25\"
\n" ); document.write( "Now we have found the length to be 25 meters
\n" ); document.write( "Check by using
\n" ); document.write( "\"70=2L%2B2W\"
\n" ); document.write( "\"70=2%2825%29%2B2%2810%29\"
\n" ); document.write( "\"70=50%2B20\"
\n" ); document.write( "\"70=70\"\r
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