document.write( "Question 132849: Robin is mowing a rectangular field that measures 24 yards by 32 yards, by pushing the mower around and around the outside of the plot. This creates a widening border that surrounds the unmowed grass in the center. During a brief rest, Robin wonders whether the job is half done yet. How wide is the uniform mowed border when Robin is half done? \n" ); document.write( "
Algebra.Com's Answer #97200 by checkley71(8403)![]() ![]() ![]() You can put this solution on YOUR website! 24*32=768 FT^2 IS THE TOTAL LAWN AREA. \n" ); document.write( "(24-2X)(32-2X)=768/2 \n" ); document.write( "768-64X-48X+4X^2=384 \n" ); document.write( "4X^2-112X+768-384=0 \n" ); document.write( "4X^2-112X+384=0 \n" ); document.write( "4(X^2-28X+96)=0 \n" ); document.write( "4(X-24)(X-4)=0 \n" ); document.write( "X-4=0 \n" ); document.write( "X=4 ANSWER FOR THE WIDTH OF THE MOWED AREA. \n" ); document.write( "(24-8)(32-8)=384 \n" ); document.write( "16*24=384 \n" ); document.write( "384=384 \n" ); document.write( " |