document.write( "Question 221184: The perimeter of a rectangular playground area is 308 feet. If the length of the playground is 34 feet more than twice the width, find the length and width of the playground \n" ); document.write( "
Algebra.Com's Answer #165929 by drj(1380)![]() ![]() You can put this solution on YOUR website! The perimeter of a rectangular playground area is 308 feet. If the length of the playground is 34 feet more than twice the width, find the length and width of the playground.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 1. Perimeter P means adding all 4 sides of a rectangle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 2. Let w be the width and 2w be twice the width\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 3. Let 2w+34 since the length is 34 feet more than twice the width.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 4. Then P=w+w+2w+34+2w+34=308 feet as given by the problem. Simplifying yields, 6w+68=308.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract 68 from both sides of the equation\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide 6 to both sides of the equation\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 5. ANSWER: The dimensions of the playground is 40 and 114 feet.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I hope the above steps and explanation were helpful. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For Step-By-Step videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry please visit http://www.FreedomUniversity.TV/courses/Trigonometry. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, good luck in your studies and contact me at john@e-liteworks.com for your future math needs.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Respectfully, \n" ); document.write( "Dr J\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |