document.write( "Question 674560: Find the length and width of a rectangle if its length is thrice its width and its diagonal is 7. \n" ); document.write( "
Algebra.Com's Answer #419319 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!
Find the length and width of a rectangle if its length is thrice its width and its diagonal is 7.
\n" ); document.write( ".
\n" ); document.write( "Let w = width
\n" ); document.write( "then
\n" ); document.write( "3w = length
\n" ); document.write( ".
\n" ); document.write( "applying Pythagorean theorem:
\n" ); document.write( "w^2 + (3w)^2 = 7^2
\n" ); document.write( "w^2 + 9w^2 = 49
\n" ); document.write( "10w^2 = 49
\n" ); document.write( "w^2 = 4.9
\n" ); document.write( "w = 2.2 (width)
\n" ); document.write( ".
\n" ); document.write( "length:
\n" ); document.write( "3w = 3(2.21) = 6.6 \n" ); document.write( "
\n" );