document.write( "Question 379518: Each side of a square is 4 m long. When each side is increased by x m, the area is doubled. Find the value of x. Thank you!
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Algebra.Com's Answer #269454 by unlockmath(1688)\"\" \"About 
You can put this solution on YOUR website!
Hello,
\n" ); document.write( "We know the area is 14 Sq meters, right?
\n" ); document.write( "so we can set up this equation:
\n" ); document.write( "(x+4)^2=28
\n" ); document.write( "rewritten as:
\n" ); document.write( "x^2+8x+16=28
\n" ); document.write( "Let's complete the square. Subtract 16 to get:
\n" ); document.write( "x^2+8x=12
\n" ); document.write( "Add 16 to both sides:
\n" ); document.write( "x^2+8x+16=28
\n" ); document.write( "Factor:
\n" ); document.write( "(x+4)^2=28
\n" ); document.write( "Sq RT both sides:
\n" ); document.write( "x+4=+-sq rt 28
\n" ); document.write( "Subtract 4 to get:
\n" ); document.write( "x=-4+- sq rt 28
\n" ); document.write( "We get:
\n" ); document.write( "x=1.291 approx
\n" ); document.write( "We can check this out by adding 1.291 to 4 = 5.291
\n" ); document.write( "Square that and we get:
\n" ); document.write( "27.99 Approx or twice the area of the original.
\n" ); document.write( "Make sense?
\n" ); document.write( "RJ
\n" ); document.write( "www.math-unlock.com
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