document.write( "Question 458324: The area of a rectangular wall of a barn is 108 square feet. Its length is 6 feet longer than twice its width. Find the length and width of the wall of the barn? \n" ); document.write( "
Algebra.Com's Answer #314405 by oberobic(2304)\"\" \"About 
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L * W = 108 sq ft
\n" ); document.write( "Length is 6 ft greater than twice the width.
\n" ); document.write( "L = 2W + 6
\n" ); document.write( "Substituting
\n" ); document.write( "(2W+6)*W = 108
\n" ); document.write( "2W^2 + 6W = 108
\n" ); document.write( "Divide both sides by 2
\n" ); document.write( "W^2 + 3W = 54
\n" ); document.write( "W^2 + 3W - 54 = 0
\n" ); document.write( "Factor
\n" ); document.write( "(W +9)(W -6) = 0
\n" ); document.write( "Roots are W=-9 and W=6.
\n" ); document.write( "A negative width is impossible, so W=6
\n" ); document.write( "L = 2W + 6
\n" ); document.write( "L = 2(6) + 6
\n" ); document.write( "L = 18
\n" ); document.write( ".
\n" ); document.write( "Always check your answer.
\n" ); document.write( "L*W = ??
\n" ); document.write( "18 * 6 = 108
\n" ); document.write( "Correct.
\n" ); document.write( ".
\n" ); document.write( "Done
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