document.write( "Question 766452: A square storage area measures 10 m on a side. By how much must each side be shortened to decrease this area to less than half the original area?
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Algebra.Com's Answer #466905 by lwsshak3(11628) $\"\"$ $\"About$

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A square storage area measures 10 m on a side. By how much must each side be shortened to decrease this area to less than half the original area?
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\n" ); document.write( "let x=how much must į to decrease this area to less than half the original area?
\n" ); document.write( "original area=10^2=100 m^2
\n" ); document.write( "(10-x)^2=50
\n" ); document.write( "100-20x+x^2=50
\n" ); document.write( "x^2-20x+50=0
\n" ); document.write( "solve for x using quadratic formula:
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( "a=1, b=-20, c=50
\n" ); document.write( "ans:
\n" ); document.write( "x≈17.07(reject)
\n" ); document.write( "or
\n" ); document.write( "x≈2.93
\n" ); document.write( "how much must each side must be shortened≥2.93 m\r
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