document.write( "Question 987394: what are the possible lengths of a rectangle if the width must be 8 inches less the the length and area must be between 100 and 200 square inches? use only the whole numbers for the dimensions \n" ); document.write( "
Algebra.Com's Answer #608142 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! width=x \n" ); document.write( "length=x+8 \n" ); document.write( "area is x(x+8)=x^2+8x \n" ); document.write( "x^2+8x=100 \n" ); document.write( "x^2+8x-100=0 \n" ); document.write( "x= (1/2) (-8 +/-sqrt (64+400); sqrt 464=21.54. Use positive roots only \n" ); document.write( "x=x=(1/2)13.54=6.77, round to 7 inches \n" ); document.write( "7 x 15=105 in^2. \n" ); document.write( "======= \n" ); document.write( "x^2+8x=200 \n" ); document.write( "x^2+8x-200=0 \n" ); document.write( "x=(1/2){-8 +/- sqrt (64+800); sqrt 864=29.39 \n" ); document.write( "x=(1/2)(21.39=10.70, round down to 10 inches \n" ); document.write( "x+8=18 inches\r \n" ); document.write( "\n" ); document.write( "10 x 18=180 in^2 \n" ); document.write( " |