document.write( "Question 1043163: A triangular sail for a yacht needs to have a surface area of 84m squared. The base length X+8 relative to the vertice height of the sale which is 2x+6 where the value of X in metres is not known. Use your knowledge of quadratic functions to find the value of X and determine the length of the base and the vertical height of the sail. \n" ); document.write( "
Algebra.Com's Answer #658319 by ankor@dixie-net.com(22740)\"\" \"About 
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A triangular sail for a yacht needs to have a surface area of 84m squared.
\n" ); document.write( " The base length X+8 relative to the vertical height of the sail which is 2x+6 where the value of X in metres is not known.
\n" ); document.write( " Use your knowledge of quadratic functions to find the value of X and determine the length of the base and the vertical height of the sail.
\n" ); document.write( ":
\n" ); document.write( "The way I understand all this, is a right triangle,
\n" ); document.write( "b = (x+8)
\n" ); document.write( "h = (2x+6)
\n" ); document.write( ":
\n" ); document.write( "The area of a right triangle
\n" ); document.write( "\"1%2F2\"*(x+8)*(2x+6) = 84
\n" ); document.write( "multiply both sides by 2, FOIL
\n" ); document.write( "2x^2 + 6x + 16x + 48 = 168
\n" ); document.write( "2x^2 + 22x + 48 - 168 = 0
\n" ); document.write( "2x^2 + 22x - 120 = 0
\n" ); document.write( "simplify divide by 2
\n" ); document.write( "x^2 + 11x - 60 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(x+15)(x-4) = 0
\n" ); document.write( "the positive solution is all we want here
\n" ); document.write( "x = 4
\n" ); document.write( "therefore
\n" ); document.write( "4+8 = 12 m is the base
\n" ); document.write( "and
\n" ); document.write( "2(4)+6) = 14 m is the height
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check, find the area of the sail with these dimensions:
\n" ); document.write( "\"1%2F2\"*12*14 = 84 sq/m \n" ); document.write( "
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