document.write( "Question 304888: a rectangular garden 10 feet wide and 12 feet long is surrounded by a rock border of uniform width. the area of the garden and rock border combined is 168 square feet. what is the width of the rock border? \n" ); document.write( "
Algebra.Com's Answer #218342 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! (10+2x)(12+2x)=168 \n" ); document.write( "120+44x+4x^2-168=0 \n" ); document.write( "4x^2+44x-48=0 \n" ); document.write( "4(x^2+11x-12)=0 \n" ); document.write( "4(x+12)(x-1)=0 \n" ); document.write( "x-1=0 \n" ); document.write( "x=1 ft. ans. for the width of the rock border. \n" ); document.write( "Proof: \n" ); document.write( "(10+2*1)(12+2*1)=168 \n" ); document.write( "(10+2)(12+2)=168 \n" ); document.write( "12*14=168 \n" ); document.write( "168=168 \n" ); document.write( " |