document.write( "Question 199699: A rectangular building that measures 100m by 80m is to be surrounded by a lawn of uniform width. The area of the lawn must be equal the area of the building. Find the width of the lawn, to the nearest tenth of a metre.\r
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document.write( "Thanks soo much.. exam tomorrow =( \n" );
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Algebra.Com's Answer #150069 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! area of building is 80m * 100m or 8000m^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let x = \"width of lawn\" \n" ); document.write( "so dimensions of building plus lawn are 80+2x by 100+2x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since the area of the lawn equals the area of the building, \n" ); document.write( "(80+2x)(100+2x) = 2 * 8000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "FOILing ___ 8000 + 360x + 4x^2 = 16000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtracting 16000 and dividing by 4 ___ x^2 + 90x - 2000 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "use quadratic formula to find x \n" ); document.write( " |