document.write( "Question 1010363: a trapezoid with area 152 has a longer base of length 22. The shorter base and the height have a ration1:2. Find the height of the trapezoid \n" ); document.write( "
Algebra.Com's Answer #625798 by Boreal(15235)\"\" \"About 
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A=(1/2)h(b1+b2); b1=x, b2=22
\n" ); document.write( "152=(1/2)2x(x+22)
\n" ); document.write( "304=2x^2+44x
\n" ); document.write( "2x^2+44x-304=0
\n" ); document.write( "x^2+22x-152=0
\n" ); document.write( "x=(1/2)(-22+/- sqrt (484+608); sqrt (1092)=33.05
\n" ); document.write( "positive root only.
\n" ); document.write( "x=5.523
\n" ); document.write( "bases are 5.523, 22, and height is 11.046
\n" ); document.write( "area is (1/2)*11.046*(27.523)=152.01 (rounding error)
\n" ); document.write( "height is 11.046
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