document.write( "Question 140925This question is from textbook UoP Special Edition Elementary and Intermediate Algebra
\n" ); document.write( ": 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. I have worked this problem 3 times and have come up with 3 different answers. I know that A=1/2bh. So in this problem A= x^2 + 5x +6, so x^2 + 5x +6 = 1/2b(x+3). So I multiply both sides of the equation by 2 to remove the fraction. This results in 2x^2 + 10x + 12 = b(2x+6). Then I divided both sides by (2x+6). This is where I start having problems. The latest answer I got is x+3+-(6 over 2x+6)=b. I hope this all makes sense, since I can't format it the way it should look. Any help would be greatly appreciated. \r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #102593 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
A triangular sail with an area of: \"A+=+x%5E2%2B5x%2B6\" square meters and a height of: \"h+=+x%2B3\"meters, find the length of the sail's base.
\n" ); document.write( "Starting with the formula for the area of a triangle:
\n" ); document.write( "\"A+=+%281%2F2%29bh\" Solve for b. Multiply both sides by 2.
\n" ); document.write( "\"2A+=+bh\" Divide both sides by h.
\n" ); document.write( "\"b+=+2A%2Fh\" Make the appropriate substitution:
\n" ); document.write( "\"b+=+2%28x%5E2%2B5x%2B6%29%2F%28x%2B3%29\" Simplify.
\n" ); document.write( "\"b+=+%282x%5E2%2B10x%2B12%29%2F%28x%2B3%29\" Perform the indicated division.
\n" ); document.write( "\"b+=+2x%2B4\"
\n" ); document.write( "Check:
\n" ); document.write( "\"A+=+%281%2F2%29bh\"
\n" ); document.write( "\"x%5E2%2B5x%2B6+=+%281%2F2%29%282x%2B4%29%28x%2B3%29\" Use FOIL to multiply the binomials.
\n" ); document.write( "\"x%5E2%2B5x%2B6+=+%281%2F2%29%282x%5E2%2B6x%2B4x%2B12%29\" Simplify the right side.
\n" ); document.write( "\"x%5E2%2B5x%2B6+=+%281%2F2%29%282x%5E2%2B10x%2B12%29\" Perform the indicated multiplication.
\n" ); document.write( "\"x%5E2%2B5x+%2B6+=+x%5E2%2B5x%2B6\" Check!
\n" ); document.write( "
\n" );