document.write( "Question 960838: A rectangle has a length of 3x +9 and a width of 5x -4. The perimeter of the rectangle is 106
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document.write( "units. Find the width of the rectangle. \n" );
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Algebra.Com's Answer #587220 by macston(5194)![]() ![]() You can put this solution on YOUR website! L=length=3x+9; W=width=5x-4; P=perimeter=106 \n" ); document.write( "P=2(L+W) \n" ); document.write( "106=2(3x+9+5x-4) Divide each side by 2 \n" ); document.write( "53=8x+5 Subtract 5 from each side. \n" ); document.write( "48=8x Divide each side by 8. \n" ); document.write( "6=x \n" ); document.write( "W=5x-4=5(6)-4=30-4=26 ANSWER: The width is 26 units. \n" ); document.write( "CHECK: \n" ); document.write( "L=3x+9=3(6)+9=18+9=27 The length is 27 units \n" ); document.write( "P=2(L+W) \n" ); document.write( "106=2(27+26) \n" ); document.write( "106=2(53) \n" ); document.write( "106=106 \n" ); document.write( " |