document.write( "Question 123264: A rectangular lawn has dimensions 30 metres by 40 metres. A strip of uniform width is to be mowed around the perimeter.How wide should the strip be so that exactly half of the lawn gets mowed ? \n" ); document.write( "
Algebra.Com's Answer #90440 by checkley71(8403)![]() ![]() ![]() You can put this solution on YOUR website! 30*40=2(30-2X)(40-2X) \n" ); document.write( "1200=2(1200-80X-60X+4X^2) \n" ); document.write( "1200=2(1200-140X+4X^2) \n" ); document.write( "1200=2400-280X+8X^2 \n" ); document.write( "8X^2-280X+2400-1200=0 \n" ); document.write( "8X^2-280X+1200 \n" ); document.write( "8(X^2-35X+150) \n" ); document.write( "8(X-5)(X-30)=0 \n" ); document.write( "X-5=0 \n" ); document.write( "X=5 ANSWER FOR THE WIDTH OF THE STRIP MOWED TO REDUCE THE LAWN TO 50%. \n" ); document.write( "PROOF \n" ); document.write( "(30-2*5)(40-2*5)=1200/2 \n" ); document.write( "20*30=600 \n" ); document.write( "600=600 \n" ); document.write( " |