document.write( "Question 447286: A door 8 feet long and 4 feet wide is made from a pane of glass in a wooden frame b feet wide on all teh sides. The area of the entire door is 1 square foot less than three times the area of wooden frame. How wide is the frame to the nearest tenth?\r
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Algebra.Com's Answer #307947 by mananth(16946)![]() ![]() You can put this solution on YOUR website! door length = 8 ft \n" ); document.write( "width == 4 ft\r \n" ); document.write( "\n" ); document.write( "Glass pan length = 8-2b \n" ); document.write( "glass pane width = 4-2b\r \n" ); document.write( "\n" ); document.write( "Total door area - Area of pane = Area of frame \n" ); document.write( "32-(8-2b)(4-2b)= arae of the frame \n" ); document.write( "32= 3(32-(8-2b)(4-2b))-1 \n" ); document.write( "33= 3(32-(32-24b+4b^2)) \n" ); document.write( "/3 \n" ); document.write( "11=(32-(32-24b+4b^2)) \n" ); document.write( "11=32-32+24b^2-4b^2 \n" ); document.write( "4b^2-24b+11=0 \n" ); document.write( "Find the roots of the equation by quadratic formula \n" ); document.write( "a= 4, b= -24, c= 11 \n" ); document.write( "Let the roots be x1.x2 \n" ); document.write( " \n" ); document.write( "b^2-4ac=576-176 \n" ); document.write( "b^2-4ac=400 \n" ); document.write( "sqrt(400)=20 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "x1=(24+ 20)/8 \n" ); document.write( "x1=5.5 \n" ); document.write( "x2=(24-20)/8 \n" ); document.write( "x2=0.5 \n" ); document.write( "Obviously the width will be 0.5 ft.\r \n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |