document.write( "Question 908076: A walking path of uniform width is to be built along all four sides of a rectangular courtyard that measures 15 yards by 8 yards. If the total area covered by the courtyard and the walking path, combined, is 260 square yards, what is the width of the walking path? \n" ); document.write( "
Algebra.Com's Answer #550780 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Let the width be x \n" ); document.write( ".. \n" ); document.write( "Length of courtyard 15 yards \n" ); document.write( "width of courtyard 8 yards \n" ); document.write( " \n" ); document.write( "Area = 120 sq. yards \n" ); document.write( "Area of plot 260 sq. yards \n" ); document.write( "length of courtyard & plot 15 + 2 x \n" ); document.write( "width of courtyard & plot 8 + 2 x \n" ); document.write( " \n" ); document.write( "( 15 + 2 x ) ( 8 + 2 x ) + 0 = 260 \n" ); document.write( " \n" ); document.write( " 120 + 30 x + 16 x + 4 X^2 + 0 = 260 \n" ); document.write( " 4X^2 + 46 x + -140 = 0 /2 \n" ); document.write( "2x^2+23x-70=0\r \n" ); document.write( "\n" ); document.write( "2x^2+28x-5x-70=0\r \n" ); document.write( "\n" ); document.write( "2x(x-14)-5(x-14)=0\r \n" ); document.write( "\n" ); document.write( "(2x-5)(x-14)=0\r \n" ); document.write( "\n" ); document.write( "x=5/2 OR 14\r \n" ); document.write( "\n" ); document.write( "14 is not applicable \n" ); document.write( " Hence width = 2.5 yards\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |