document.write( "Question 1165650: The height of a triangular flag is 5 inches more than twice its base. the flag is made of 84 square inches of fabric , what are the dimensions of the flag? \n" ); document.write( "

Algebra.Com's Answer #790265 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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The height of a triangular flag is 5 inches more than twice its base.
\n" ); document.write( "the flag is made of 84 square inches of fabric,
\n" ); document.write( "what are the dimensions of the flag?
\n" ); document.write( ":
\n" ); document.write( "let b = the width of the base (b)
\n" ); document.write( "then
\n" ); document.write( "(2b+5) = height (h) of the flag
\n" ); document.write( ":
\n" ); document.write( "Area of a triangle formula: A = $\"1%2F2\"$ b*h
\n" ); document.write( "therefore
\n" ); document.write( " $\"1%2F2\"$ b*(2b+5) = 84
\n" ); document.write( "multiply by 2, get rid of the fraction
\n" ); document.write( "b(2b+5) = 168
\n" ); document.write( "arrange as a quadratic equation
\n" ); document.write( "2b^2 + 5b - 168 = 0
\n" ); document.write( "you can use the quadratic formula, a=2; b=5; c=-168; but this will factor to
\n" ); document.write( "(2b+21)(b-8) = 0
\n" ); document.write( "positive solution is all we want here
\n" ); document.write( "b = 8 inches is the base
\n" ); document.write( "therefore
\n" ); document.write( "2(8) + 5 = 21 inches is the height \n" ); document.write( "

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