document.write( "Question 203369: The width of a rectangular gate is 2 meters (m) larger that its height. The diagnoal brace measures square root6m. Find the width and height. \n" ); document.write( "
Algebra.Com's Answer #153439 by stanbon(75887)\"\" \"About 
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The width of a rectangular gate is 2 meters (m) larger that its height. The diagnoal brace measures square root6m. Find the width and height.
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\n" ); document.write( "Draw a picture of a rectangle.
\n" ); document.write( "Label the width as (x+2) meters.
\n" ); document.write( "Label the height as (x) meters.
\n" ); document.write( "Lsbel the diagonal as sqrt(6) meters.
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\n" ); document.write( "Use Pythagoras to solve for \"x\".
\n" ); document.write( "x^2 + (x+2)^2 = [sqrt(6)]^2
\n" ); document.write( "2x^2 + 4x + 4 = 6
\n" ); document.write( "2x^2 + 4x -2 = 0
\n" ); document.write( "x^2 + 2x -1 = 0
\n" ); document.write( "Use the quadratic formula to solve for \"x\":
\n" ); document.write( "x = [-2 +- sqrt(4 -4*1*-1]/2
\n" ); document.write( "x = [-2 +- sqrt(8)]/2
\n" ); document.write( "x = [-1 +- sqrt(2)]
\n" ); document.write( "Positive solution:
\n" ); document.write( "x = sqrt(2) - 1 = 0.414 meters (this is the height of the rectangle)
\n" ); document.write( "x+2 = 2.414 meters (this is the width of the rectangle)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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