document.write( "Question 521291: The length and width of a rectangle are given by consecutive integers.
\n" ); document.write( "The area of the rectangle is 110 m^2.
\n" ); document.write( "Find the length of the diagonal of the rectangle.
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Algebra.Com's Answer #346405 by oberobic(2304)\"\" \"About 
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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
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\n" ); document.write( "x^2 +x + 1/4 = 110 + 1/4
\n" ); document.write( "(x + 1/2)^2 = sqrt(110+1/4)
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\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
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\n" ); document.write( "x + 1/2 = +sqrt(110 1/4) = 10.5
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\n" ); document.write( "x = 10
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\n" ); document.write( "x+1 = 11
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\n" ); document.write( "Answer: The rectangle is 10 by 11 m.
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\n" ); document.write( "Done.
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