document.write( "Question 104448: Can you show me how to solve this problem Step-By-Step?
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document.write( "A rectangle has a perimeter of 34cm. The length in centimeters of its adjacent sides are consecutive integers. Find the dimensions of the rectangle. \n" );
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Algebra.Com's Answer #370321 by dfrazzetto(283)![]() ![]() You can put this solution on YOUR website! A rectangle cannot have 4 sides of different lengths, then it would not be a rectangle.\r \n" ); document.write( "\n" ); document.write( "Perimeter = 2L + 2W = 34\r \n" ); document.write( "\n" ); document.write( "If W is some integer, then L is that integer + 1, so:\r \n" ); document.write( "\n" ); document.write( "If W = n, L = n+1\r \n" ); document.write( "\n" ); document.write( "P= 2(n+1) + 2n = 34\r \n" ); document.write( "\n" ); document.write( "2n + 2 + 2n = 34 \n" ); document.write( "4n + 2 = 34 \n" ); document.write( "4n = 32 \n" ); document.write( "n=8\r \n" ); document.write( "\n" ); document.write( "W = n = 8cm \n" ); document.write( "L = n+1 = 9cm\r \n" ); document.write( "\n" ); document.write( "Rectangle is 8cm x 9cm\r \n" ); document.write( "\n" ); document.write( "To check, plug it back in to perimeter formula:\r \n" ); document.write( "\n" ); document.write( "P = 2L + 2W = 2(9) + 2(8) = 18 + 16 = 34 √ correct \n" ); document.write( " |