document.write( "Question 579844: What is the value of x if the triangle is 15 square yards?
\n" ); document.write( "Base of the triangle is x-5
\n" ); document.write( "Height of the triangle is 2x + 1
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Algebra.Com's Answer #371080 by mananth(16946)\"\" \"About 
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Area of triangle = 1/2 * base * height\r
\n" ); document.write( "\n" ); document.write( "15= 1/2 * (x-5)(2x+1)\r
\n" ); document.write( "\n" ); document.write( "multiply by 2
\n" ); document.write( "30 = (x-5)(2x+1)\r
\n" ); document.write( "\n" ); document.write( "30= x(2x+1)-5(2x+1)\r
\n" ); document.write( "\n" ); document.write( "30=2x^2+x-10x-5\r
\n" ); document.write( "\n" ); document.write( "30=2x^2-9x-5\r
\n" ); document.write( "\n" ); document.write( "add -30
\n" ); document.write( "0= 2x^2-9x-35\r
\n" ); document.write( "\n" ); document.write( "2x^2-9x-35=0\r
\n" ); document.write( "\n" ); document.write( "2x^2-14x+5x-35=0\r
\n" ); document.write( "\n" ); document.write( "2x(x-7)+5(x-7)=0\r
\n" ); document.write( "\n" ); document.write( "(x-7)(x+5)=0\r
\n" ); document.write( "\n" ); document.write( "x=7 OR -5\r
\n" ); document.write( "\n" ); document.write( "x=7 since the lengths cannot be negative.
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