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)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( " |