document.write( "Question 489833: For my assignment: Suppose that the length of a rectangle is three cm longer than twice the width and that the perimeter of the rectangle is 90.
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document.write( "1. set up an equation for the perimeter involving only W, the width of the rectangle.
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Algebra.Com's Answer #333783 by htmentor(1343)![]() ![]() You can put this solution on YOUR website! For my assignment: Suppose that the length of a rectangle is three cm longer than twice the width and that the perimeter of the rectangle is 90. \n" ); document.write( "1. set up an equation for the perimeter involving only W, the width of the rectangle. \n" ); document.write( "================================ \n" ); document.write( "Let l = the length, w = the width \n" ); document.write( "Given: \n" ); document.write( "length is 3 cm MORE than TWICE the width \n" ); document.write( "l = 3 + 2w \n" ); document.write( "perimeter is 90. \n" ); document.write( "2l + 2w = 90 \n" ); document.write( "Substitute the value for l from the 1st equation into the 2nd: \n" ); document.write( "2(3+2w) + 2w = 90 \n" ); document.write( "Simplify: \n" ); document.write( "6 + 4w + 2w = 90 \n" ); document.write( "6w = 84 \n" ); document.write( "w = 14 \n" ); document.write( " |