document.write( "Question 701552: 10) A local building code requires that all factories must be surrounded by a lawn. The width of the lawn must be uniform and the area of the lawn must be equal to the area of the factory. What must be the width of a lawn surrounding a rectangular factory that measures 120 m by 80 m?
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Algebra.Com's Answer #432466 by josgarithmetic(39617)![]() ![]() ![]() You can put this solution on YOUR website! Removed earlier solution because was wrong, rechecked twice more, different but still wrong. \r \n" ); document.write( "\n" ); document.write( "Two rectangles. Inner and outer. Inner is just factory area. Outer is the area of lawn and factory combined. Let x be distance from inner side to corresponding outer side, away from the corners locations. Know that the lawn includes four squares of x^2 area. Draw this picture.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Outer area rectangle = (120+2x)(80+2x) \n" ); document.write( "The outer area is TWO times the inner area, \n" ); document.write( "Outer area (120+2x)(80+2x)=2(120)(80) \n" ); document.write( "2*2*(60+x)(40+x)=2*2*60*80 \n" ); document.write( "(60+x)(40+x)=4800 \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Use general solution to quadratic equation, \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "x= 20 the width. (the -140 number in expression is not sensible) \n" ); document.write( " |