document.write( "Question 119405This question is from textbook Mathematics concepts and skills practice workbook
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document.write( ": A rectangle has a perimeter of 78 inches. Its length is 6 inches more than twice its width.\r
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document.write( "a. make a sketch of the rectangle and label its sides
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document.write( "b. find the recangle's length and width.\r
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document.write( "I tried doing this but it gets me confused.
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document.write( "I did:\r
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document.write( "78=2w+6
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document.write( "72=2w\r
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document.write( "Then I'm just lost. If i continue, the perimeter doesnt add up. Please help!
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Algebra.Com's Answer #87484 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A rectangle has a perimeter of 78 inches. Its length is 6 inches more than twice its width. \n" ); document.write( "a. make a sketch of the rectangle and label its sides \n" ); document.write( "b. find the recangle's length and width.\r \n" ); document.write( "\n" ); document.write( "I tried doing this but it gets me confused. \n" ); document.write( "I did: \n" ); document.write( "78=2w+6 \n" ); document.write( "72=2w \n" ); document.write( "Then I'm just lost. If i continue, the perimeter doesnt add up. Please help! \n" ); document.write( ": \n" ); document.write( "Let's start over: \n" ); document.write( "Let x = width \n" ); document.write( "It said the length is 6\" more the twice the width therefore: \n" ); document.write( "(2x+6) = length \n" ); document.write( ": \n" ); document.write( "You know: \n" ); document.write( "2L + 2W = 78 \n" ); document.write( "Substitute (2x+6) for L and x for W: \n" ); document.write( "2(2x+6) + 2x = 78 \n" ); document.write( "4x + 12 + 2x = 78 \n" ); document.write( "6x = 78 - 12 \n" ); document.write( "6x = 66 \n" ); document.write( "x = 66/6 \n" ); document.write( "x = 11\" is the width \n" ); document.write( "then \n" ); document.write( "2(11) + 6 = 28\" is the length \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check our perimeter \n" ); document.write( "2(28) + 2(11) = \n" ); document.write( "56 + 22 = 78; confirms our solution \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "I think using x in these problems reduces the confusion factor, but you could \n" ); document.write( "use w throughout if you prefer that\r \n" ); document.write( "\n" ); document.write( ", \n" ); document.write( " |