document.write( "Question 87135: The length of a rectangle is 3 in. more than the width. The perimeter of the rectangle is 24 in.\r
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document.write( "a. Define the variables.
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document.write( "b.Write the expression for the length in terms of the width.
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document.write( "c. Substitute what you know into equation. Be sure you only have one variable.
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document.write( "d. What is the length of the rectangle? \n" );
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Algebra.Com's Answer #63171 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "a. Define the variables. \n" ); document.write( " \n" ); document.write( "Let w=width of rectangle \n" ); document.write( "Then l=w+3=length of rectangle\r \n" ); document.write( "\n" ); document.write( "b.Write the expression for the length in terms of the width.\r \n" ); document.write( "\n" ); document.write( "l=w+3\r \n" ); document.write( "\n" ); document.write( "c. Substitute what you know into equation. Be sure you only have one variable.\r \n" ); document.write( "\n" ); document.write( "perimeter equals 2w+2l(but l=w+3)=24 in, so--\r \n" ); document.write( "\n" ); document.write( "2w+2(w+3)=24 get rid of parens\r \n" ); document.write( "\n" ); document.write( "2w+2w+6=24 subtract 6 from both sides\r \n" ); document.write( "\n" ); document.write( "2w+2w+6-6=24-6 collect like terms\r \n" ); document.write( "\n" ); document.write( "4w=18 divide both sides by 4\r \n" ); document.write( "\n" ); document.write( "w=4.5 in-------------------width of rectang;e\r \n" ); document.write( "\n" ); document.write( "w=l+3=4.5+3=7.5 in ---------LENGTH OF RECTANGLE\r \n" ); document.write( "\n" ); document.write( "CK\r \n" ); document.write( "\n" ); document.write( "24=2(4.5)+2(7.5)\r \n" ); document.write( "\n" ); document.write( "24=9+15 \n" ); document.write( "24=24\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hope this helps----ptaylor \n" ); document.write( " \n" ); document.write( " |