document.write( "Question 51097: I have 14, 8ft railroad ties. I cannot cut these ties. I need to know the maximum area and dimensions of a rectangle using the uncut ties. So far I have:
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document.write( "2L+2W=112
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document.write( "L+W=56
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document.write( "W=56-L
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document.write( "A=L(56-L)
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document.write( "A=-L^2+56L
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document.write( "L=-b/2a=-56/2(-1)=28
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document.write( "I came up with max area =784'^2 and dimensions 28' x 28'. Then I realize that can't be right because I would have to cut the rr ties. How do I figure in the uncut ties? \n" );
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Algebra.Com's Answer #34105 by checkley71(8403)![]() ![]() ![]() You can put this solution on YOUR website! 14 8 FOOT TIES CAN MAKE A RECTANGLE OF L+W=14/2 OR L+W=7 OR MAX VALUES OF X&Y ARE 3 & 4 THUS A 3 BY 4 TIE RECTANGLE IS THE MAX SIZE OR (3*8)(4*8)=24*32=768 SQFT.\r \n" ); document.write( "\n" ); document.write( "PROOF DRAW RECTANGLE USING 8 FOOT LINES FOR EACH TIE AND YOU'LL FIND A 3 BY 4 \n" ); document.write( "RECTANGLE IS THE LARGEST AREA. \n" ); document.write( " |