document.write( "Question 614350: the base of a triangle is 3 meters less then twice the height find the base and the height if the area of a triangle is 22 square meters \n" ); document.write( "
Algebra.Com's Answer #386508 by nerdybill(7384)\"\" \"About 
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the base of a triangle is 3 meters less then twice the height find the base and the height if the area of a triangle is 22 square meters
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\n" ); document.write( "Let x = height
\n" ); document.write( "then
\n" ); document.write( "2x-3 = base
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\n" ); document.write( "(1/2)(2x-3)x = 22
\n" ); document.write( "(2x-3)x = 44
\n" ); document.write( "2x^2-3x = 44
\n" ); document.write( "2x^2-3x-44=0
\n" ); document.write( "rewrite the middle term as:
\n" ); document.write( "2x^2 +8x-11x -44=0
\n" ); document.write( "group terms:
\n" ); document.write( "(2x^2+8x)-(11x+44)=0
\n" ); document.write( "2x(x+4)-11(x+4)=0
\n" ); document.write( "(x+4)(2x-11)=0
\n" ); document.write( "x = {-4, 11/2}
\n" ); document.write( "throw out the negative solution leaving:
\n" ); document.write( "x = 5.5 meters (base)
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\n" ); document.write( "height:
\n" ); document.write( "2x-3 = 2(5.5)-3 = 11-3 = 8 meters \r
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