document.write( "Question 103276: The width of the rectangle is 9 inches shorter than it's length and twice the radius of a circle. The difference in perimeters of the two shapes is 450 inches. Find the area of the circle. \n" ); document.write( "
Algebra.Com's Answer #75106 by alisttutors(8)![]() ![]() You can put this solution on YOUR website! W=L-9 \n" ); document.write( "W=2R \n" ); document.write( "(2W+2L)-2PiR=450\r \n" ); document.write( "\n" ); document.write( "You want to find Pi*R^2 which is the same as Pi*W^2/4\r \n" ); document.write( "\n" ); document.write( "2W+2(W+9)-W*Pi=450 \n" ); document.write( "4W+18-Pi*W=450 \n" ); document.write( "(4-Pi)*W=432 \n" ); document.write( "W=432/(4-Pi) \n" ); document.write( "Pi(432/(4-Pi))^2/4\r \n" ); document.write( "\n" ); document.write( "Plug that puppy into a calculator and you get: \n" ); document.write( "198,916.36920088... \n" ); document.write( "or 1.98*10^5\r \n" ); document.write( "\n" ); document.write( "Hmm, that is ugly - but I've checked it - let me know if it confers with your thoughts. \n" ); document.write( " |