document.write( "Question 93998: what is the are of rectangle whose length is twice its width and whose perimeter is equal to that of a square whose area is 1? \n" ); document.write( "
Algebra.Com's Answer #68437 by edjones(8007)![]() ![]() You can put this solution on YOUR website! A square who's area is 1 has a side equal to 1. So, it's perimeter is 4. \n" ); document.write( "Let L=Length and W=width \n" ); document.write( "L=2W \n" ); document.write( "P=2*(L+W) Perimeter formula \n" ); document.write( "Substitute 2W for L: P=2*(2W+W)=2(3W)=6W \n" ); document.write( "6W=4 \n" ); document.write( "divide both sides by 6: W=4/6=2/3 \n" ); document.write( "L=2W=2*2/3=4/3 \n" ); document.write( "Area=L*W=(2/3)*(4/3)=8/9 \n" ); document.write( " \n" ); document.write( " |