document.write( "Question 67700: The length of a rectangle is 2in. more than twice its width. If the perimeter of the rectangle is 34 in., find the dimensions of the rectangle.\r
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Algebra.Com's Answer #48160 by tutorcecilia(2152)![]() ![]() You can put this solution on YOUR website! Perimeter = 2(length + width) [formula for the perimeter of a rectangle] \n" ); document.write( "34=2(2w+w) [plug-in the values and simplify] \n" ); document.write( "34/2=[2(2w+w)/2 \n" ); document.write( "17=2w+w \n" ); document.write( "17=3w \n" ); document.write( "17/3=(3w)/3 \n" ); document.write( "17/3=w \n" ); document.write( "Therefore, the width = 17/3 in. \n" ); document.write( "Length = 2w=2(17/3) = 34/3 = 11.333 in. \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( "Check by plugging all of the values back into the original formula: \n" ); document.write( "P=2(l+w) \n" ); document.write( "34=2(2w+w) \n" ); document.write( "34=2([(2)(17/3)+(17/3)] \n" ); document.write( "34=2[34/3 + 17/3] \n" ); document.write( "34=(68/3+34/3) \n" ); document.write( "34=(102/3) \n" ); document.write( "34=34 [checks out]\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |