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)\"\" \"About 
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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
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