document.write( "Question 574963: a pie-shaped (triangular) lake-front lot has a perimeter of 1200 ft. One side is 200 ft longer than the shortest side, while the third side is 400 feet longer than the shortest side. What are the lengths of all three sides?
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Algebra.Com's Answer #369343 by Theo(13342)![]() ![]() You can put this solution on YOUR website! perimeter equals 1200 feet. \n" ); document.write( "shortest side is equal to x. \n" ); document.write( "one side is 200 feet longer than the shortest side, so it is equal to x + 200 \n" ); document.write( "another side is 400 feet longer than the shortest side, so it is equal to x + 400 \n" ); document.write( "perimeters equals the sum of all 3 sides, so the perimeter is equal to: \n" ); document.write( "x + x + 200 + x + 400 which is equal to: \n" ); document.write( "3x + 600. \n" ); document.write( "since the perimeter is equal to 1200 feet, then we get: \n" ); document.write( "3x + 600 = 1200 \n" ); document.write( "subtract 600 from both sides of the equation to getr: \n" ); document.write( "3x = 600 \n" ); document.write( "divide both sides of the equation by 3 to get: \n" ); document.write( "x = 200 \n" ); document.write( "shortest side is equal to 200 \n" ); document.write( "next shortest side is equal to 400 \n" ); document.write( "next shortest side is equal to 600 \n" ); document.write( "add them up together and you get 1200. \n" ); document.write( "second shortest side is 200 more than the shortest side. \n" ); document.write( "longest side is 400 more than the shortest side. \n" ); document.write( "requirements of the problem have been satisfied.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |