document.write( "Question 982506: A vegetable gardener has a tilled a piece of soil that measures 6 yards by 12 yards. She wants to put a border of marigolds of the same width within the four sides and leave an area of 40 square yards for vegetables. How wide can the border be? \n" ); document.write( "
Algebra.Com's Answer #603385 by macston(5194)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "(6yds-x)(12yds-x)=40yds^2 \n" ); document.write( "72yds-6xyds-12xyds+x^2=40yds^2 \n" ); document.write( "x^2-18xyds+72yds^2=40yds^2 \n" ); document.write( "x^2-18xyds+32yds=0 \n" ); document.write( "(x-2yds)(x-16yds)=0 \n" ); document.write( "x-2yds=0 OR x-16yds=0 \n" ); document.write( "x=2yds OR x=16yds x=16yds results in negative measurements, so \n" ); document.write( "x=2 yards ANSWER: The border can be 2 yards wide. \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |