document.write( "Question 472854: In a rectangle, the length is three more than one half of the width. If the area is 56, what is the width? \n" ); document.write( "
Algebra.Com's Answer #324213 by ankor@dixie-net.com(22740)\"\" \"About 
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In a rectangle, the length is three more than one half of the width.
\n" ); document.write( "L = \"1%2F2\"W + 3
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\n" ); document.write( "If the area is 56, what is the width?
\n" ); document.write( "L * W = 56
\n" ); document.write( "Replace L with (\"1%2F2\"W + 3)
\n" ); document.write( "(\"1%2F2\"W + 3) * W = 56
\n" ); document.write( "\"1%2F2\"W^2 + 3W = 56
\n" ); document.write( "Get rid of the fraction, mult eq by 2
\n" ); document.write( "W^2 + 6W = 112
\n" ); document.write( "A quadratic equation
\n" ); document.write( "W^2 + 6W - 112 = 0
\n" ); document.write( "You can find W using the quadratic formula; a=1, b=6, c=-112, but:
\n" ); document.write( "this will factor to
\n" ); document.write( "(W+14)(W-8) = 0
\n" ); document.write( "the positive solution
\n" ); document.write( "W = 8
\n" ); document.write( "then \"the length is three more than one half of the width.\" therefore:
\n" ); document.write( "L = \"1%2F2\"(8) + 3
\n" ); document.write( "L = 7
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\n" ); document.write( "Check by finding the area with these values: 7 * 8 = 56
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