document.write( "Question 885365: A section on the playground is in the shape of a triangle and has an area of 24 square feet. If the base is four more than twice the height, what is the measure of the height?
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Algebra.Com's Answer #535108 by dkppathak(439)\"\" \"About 
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A section on the playground is in the shape of a triangle and has an area of 24 square feet. If the base is four more than twice the height, what is the measure of the height?
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\n" ); document.write( "as per given conditions base is four more than twice the height,
\n" ); document.write( "base =2 x height +4 let base is b and height is h
\n" ); document.write( "Area of triangle = 1/2(base x height)\r
\n" ); document.write( "\n" ); document.write( "24 =1/2(2h+4)h by cross multiplication
\n" ); document.write( "48=(2h+4)h
\n" ); document.write( "48 =2h^2+4h take 2 common
\n" ); document.write( "24 =h^2+2h
\n" ); document.write( "h^2+2h-24=0 by factorization spiting middle term
\n" ); document.write( "h^2+6h-4h-24=0
\n" ); document.write( "(h+6)(h-4)=0
\n" ); document.write( "h=-6 or h=4 neglecting negative 6 value
\n" ); document.write( "so height =4 feet
\n" ); document.write( "base = 12 feet
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