document.write( "Question 521291: The length and width of a rectangle are given by consecutive integers.
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document.write( "The area of the rectangle is 110 m^2.
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document.write( "Find the length of the diagonal of the rectangle. \n" );
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Algebra.Com's Answer #346405 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! L = x \n" ); document.write( "W = x+1 \n" ); document.write( "x(x+1) = 110 \n" ); document.write( "x^2 +x = 110 \n" ); document.write( "complete the square \n" ); document.write( ". \n" ); document.write( "x^2 +x + 1/4 = 110 + 1/4 \n" ); document.write( "(x + 1/2)^2 = sqrt(110+1/4) \n" ); document.write( ". \n" ); document.write( "(x + 1/2)^2 = (x+1/2)(x+1/2) = x^2 +1/2x + 1/2x + 1/4 = x^2 +x + 1/4 \n" ); document.write( ". \n" ); document.write( "x + 1/2 = +sqrt(110 1/4) = 10.5 \n" ); document.write( ". \n" ); document.write( "x = 10 \n" ); document.write( ". \n" ); document.write( "x+1 = 11 \n" ); document.write( ". \n" ); document.write( "Answer: The rectangle is 10 by 11 m. \n" ); document.write( ". \n" ); document.write( "Done. \n" ); document.write( " \n" ); document.write( " |