document.write( "Question 154433: A triangular sail has an area of x^2+5x+6 square meters and a height of x+3 meters. Find the length of the sail's base.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #113714 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Remember the area of any triangle is: Area = (1/2)(Base * Height)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A+=+%281%2F2%29%28b%2Ah%29\" Start with the given formula.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%5E2+%2B+5x+%2B+6+=+%281%2F2%29%28b%29%28x+%2B+3%29\" Plug in the given area \"A=x%5E2+%2B+5x+%2B+6+\" and the height \"h=x%2B3\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28x%5E2+%2B+5x+%2B+6%29%2F%28x+%2B+3%29=+%281%2F2%29%2A%28b%29\" Divide both sides by \"x%2B3\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28%28x%2B3%29%28x%2B2%29%29%2F%28x+%2B+3%29=+%281%2F2%29%2A%28b%29\" Factor \"x%5E2+%2B+5x+%2B+6\" to get \"%28x%2B3%29%28x%2B2%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28cross%28%28x%2B3%29%29%28x%2B2%29%29%2Fcross%28%28x%2B3%29%29=+%281%2F2%29%2A%28b%29\" Cancel the common terms.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%2B2=+%281%2F2%29%2A%28b%29\" Simplify\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"2%28x%2B2%29=+b\" Multiply both sides by 2.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"2x%2B4=+b\" Distribute\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the base is \"b=2x%2B4\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );