document.write( "Question 113360: The length of a rectangle is 4 less than 3 times the width. If the perimeter is 40, find the dimensions of the rectangle.
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document.write( "I really need help!! \n" );
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Algebra.Com's Answer #82686 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! : \n" ); document.write( "Let x = the width \n" ); document.write( ": \n" ); document.write( "It says,\"The length of a rectangle is 4 less than 3 times the width.\" write that as: \n" ); document.write( "L = 3x - 4 \n" ); document.write( ": \n" ); document.write( " If the perimeter is 40, find the dimensions of the rectangle. \n" ); document.write( ": \n" ); document.write( "We know: 2L + 2W = 40 \n" ); document.write( ": \n" ); document.write( "Substitute (3x-4) for L and x for W \n" ); document.write( "2(3x-4) + 2x = 40 \n" ); document.write( ": \n" ); document.write( "6x - 8 + 2x = 40; Multiplied what's inside the brackets \n" ); document.write( ": \n" ); document.write( "6x + 2x = 40 + 8; do some basic algebra to find x; (added 8 to both sides) \n" ); document.write( ": \n" ); document.write( "8x = 48 \n" ); document.write( ": \n" ); document.write( "x = 48/8 \n" ); document.write( ": \n" ); document.write( "x = 6 which is the width \n" ); document.write( ": \n" ); document.write( "It said that L = 3x - 4, therefore: \n" ); document.write( "L = 3(6) - 4 \n" ); document.write( "L = 18 - 4 \n" ); document.write( "L = 14; is the length \n" ); document.write( ": \n" ); document.write( "Check our solutions in the perimeter: \n" ); document.write( "2(14) + 2(6) = \n" ); document.write( "28 + 12 = 40 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Is this the help you need? Do you have any questions? \n" ); document.write( " |