document.write( "Question 1079838: If the perimeter of a fence is 76 feet what are the dimensions of the length and width if the length is (x+4) and width is (2x-23). \n" ); document.write( "

Algebra.Com's Answer #694065 by addingup(3677) $\"\"$ $\"About$

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2Length+2Width = Perimeter
\n" ); document.write( "L = (x+4)
\n" ); document.write( "W = (2x-23)
\n" ); document.write( "---------------------
\n" ); document.write( "2(x+4)+2(2x-23) = 76
\n" ); document.write( "Distributive property of multiplication:
\n" ); document.write( "2x+8+4x-46 = 76
\n" ); document.write( "consolidate like terms:
\n" ); document.write( "2x+4x+8-46 = 76
\n" ); document.write( "6x-38 = 76
\n" ); document.write( "add 38 on both sides
\n" ); document.write( "6x = 114
\n" ); document.write( "x = 19
\n" ); document.write( "----------------------
\n" ); document.write( "L = 19+4 = 23
\n" ); document.write( "W = 2(19)-23 = 38-23 = 15
\n" ); document.write( "------------------------------
\n" ); document.write( "check:
\n" ); document.write( "2(23)+2(15) = 76
\n" ); document.write( "46+30 = 76 Correct
\n" ); document.write( ":
\n" ); document.write( "John \n" ); document.write( "

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