document.write( "Question 130076: Draw one rectangle that has both a perimeter of 18 centimeters and an area of 18 square centimeters. Label the width and length \n" ); document.write( "
Algebra.Com's Answer #94989 by checkley71(8403)![]() ![]() ![]() You can put this solution on YOUR website! x*y=18 or x=18/y \n" ); document.write( "2x+2y=18 now replace x by (18/y) & solve for y: \n" ); document.write( "2(18/y)+2y=18 \n" ); document.write( "36/y+2y=18 \n" ); document.write( "(36+2y^2)/y=18 now cross multiply \n" ); document.write( "36+2y^2=18y \n" ); document.write( "2y^2-18y+36=0 \n" ); document.write( "2(y^2-9y+18)=0 \n" ); document.write( "2(y-6)(y-3)=0 \n" ); document.write( "y-6=0 \n" ); document.write( "y=6 answer \n" ); document.write( "y-3=0 \n" ); document.write( "y=3 answer. \n" ); document.write( "so the sides of this rectangle are 3 & 6 cm. \n" ); document.write( "proof: \n" ); document.write( "3*6=18 \n" ); document.write( "2*(18/6)+2*3=18 \n" ); document.write( "36/6+6=18 \n" ); document.write( "12+6=18 \n" ); document.write( "18=18 \n" ); document.write( " \n" ); document.write( " |