document.write( "Question 177832: Quadratic Equations
\n" ); document.write( "20) The perimeter of a rectangle is 8m and its area is 2m^2. Find the length and width of the rectangle to the nearest tenth of a metre.
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Algebra.Com's Answer #132825 by edjones(8007)\"\" \"About 
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A) L*w=2
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\n" ); document.write( "2L+2w=8
\n" ); document.write( "L+w=4 divide equation by 2.
\n" ); document.write( "L=4-w
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\n" ); document.write( "A) w(4-w)=2
\n" ); document.write( "4w-w^2=2
\n" ); document.write( "w^2-4w+2=0
\n" ); document.write( "w^2-4w =-2
\n" ); document.write( "w^2-4w+4=-2+4 complete the square
\n" ); document.write( "(w-2)^2=2
\n" ); document.write( "w-2=+-sqrt(2)
\n" ); document.write( "w=2+-sqrt(2)
\n" ); document.write( "w=2+sqrt(2), L=2-sqrt(2) or vice versa
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\n" ); document.write( "Ed\r
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