document.write( "Question 911226: The length of a lacrosse field is 15 yards less than twice its width, and the perimeter is 330 yards. The defensive area of the field is 5/21 of the total field area. Find the defensive area of the lacrosse field. \n" ); document.write( "
Algebra.Com's Answer #552928 by ichigo449(30)![]() ![]() ![]() You can put this solution on YOUR website! Let x be the length of the field and y the width. The first condition in the question says that x= 2y-15. Then the perimeter gives us a linear equation: \n" ); document.write( "2y + 2(2y-15) = 330 \n" ); document.write( "This can be simplified to 6y-30 = 330 or 6y = 300 so y = 60. Then, by x = 2y-15, x = 105. Now from area of a rectangle, x*y, we get the total field area to be: 6300. Since the defensive area is 5/21 the total area we conclude that it must be 1500 yards square. \n" ); document.write( " \n" ); document.write( " |