document.write( "Question 102205: The length of a rectangle is 2 in. more than twice its width. If the
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document.write( "perimeter of the rectangle is 34 in., find the dimensions of the rectangle. \n" );
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Algebra.Com's Answer #74309 by doukungfoo(195)![]() ![]() You can put this solution on YOUR website! Ok first we have to know the formula for perimeter of a rectangle. \n" ); document.write( "Perimeter = 2(Length) + 2(Width) \n" ); document.write( "So for this rectangle lets call the width x \n" ); document.write( "Width = x \n" ); document.write( "Now we are told that the length is 2 in more than twice its width. \n" ); document.write( "So if the width is x then \n" ); document.write( "Length = 2x + 2 \n" ); document.write( "We are also told that the perimeter is 34 in \n" ); document.write( "Ok so lets put all this into the perimeter formula and solve for x \n" ); document.write( "Perimeter = 2(Length) + 2(Width) \n" ); document.write( "34 = 2(2x+2) + 2(x) \n" ); document.write( "34 = 4x + 4 + 2x \n" ); document.write( "34 = 6x + 4 \n" ); document.write( "30 = 6x \n" ); document.write( "5 = x \n" ); document.write( "Answer: The width is 5 inches \n" ); document.write( "Now use this to find the length \n" ); document.write( "Length = 2x + 2 \n" ); document.write( "Length = 2(5) + 2 \n" ); document.write( "Length = 10 + 2 \n" ); document.write( "Length = 12 \n" ); document.write( "Answer: The length is 12 inches \n" ); document.write( "Check answers using the perimeter formula \n" ); document.write( "Perimeter = 2(Length) + 2(Width) \n" ); document.write( "34 = 2(12) + 2(5) \n" ); document.write( "34 = 24 + 10 \n" ); document.write( "34 = 34\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |