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)\"\" \"About 
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
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\n" ); document.write( "b^2-4ac=576-176
\n" ); document.write( "b^2-4ac=400
\n" ); document.write( "sqrt(400)=20
\n" ); document.write( "\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"
\n" ); document.write( "\"x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29\"
\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
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