document.write( "Question 163611: A rectanglar plot of ground measeures 18 ft by 15 ft. A path is to be constructed within the plot so that a 108 square foot garden can be planted with the path surrounding it. Find the width of the path. \n" ); document.write( "
Algebra.Com's Answer #120518 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! 18*15=270 \n" ); document.write( "(18-2x)(15-2x)=108 \n" ); document.write( "270-30x-36x+4x^2-108=0 \n" ); document.write( "4x^2-66x+162=0 \n" ); document.write( "2(2x^2-33x+81)=0 \n" ); document.write( "2(2x-27)(x-3)=0 \n" ); document.write( "x-3=0 \n" ); document.write( "x=3 ft. wide for the path. \n" ); document.write( "pROOF: \n" ); document.write( "(18-2*3)(15-2*3)=108 \n" ); document.write( "(18-6)(15-6)=108 \n" ); document.write( "12*9=108 \n" ); document.write( "108=108 \n" ); document.write( " |