document.write( "Question 351109: x represent the side length of a square .find a regular polygon with side length x whose perimeter is twice perimeter of the square. find a regular polygon with side length x whose perimeter is three times the length of the square \n" ); document.write( "
Algebra.Com's Answer #251026 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! x represent side length of a square .find a regular polygon with side length x \n" ); document.write( " whose perimeter is twice the perimeter of the square. \n" ); document.write( ": \n" ); document.write( "4x = perimeter of original square \n" ); document.write( "then \n" ); document.write( "8x = twice the perimeter \n" ); document.write( ": \n" ); document.write( "let y = side of polygon with twice the perimeter \n" ); document.write( "2x + 2y = 8x \n" ); document.write( "Simplify, divide by 2 \n" ); document.write( "x + y = 4x \n" ); document.write( "y = 4x - x \n" ); document.write( "y = 3x \n" ); document.write( "therefore \n" ); document.write( "2x + 2(3x) = 8x \n" ); document.write( "Polygon with twice the perimeter: 3x by x \n" ); document.write( ": \n" ); document.write( "find a regular polygon with side length x whose perimeter is three times \n" ); document.write( " the length of the square \n" ); document.write( "this perimeter: 3(4x) = 12x \n" ); document.write( "let y = side of polygon with three times the perimeter \n" ); document.write( "2x + 2y = 12x \n" ); document.write( "Simplify, divide by 2 \n" ); document.write( "x + y = 6x \n" ); document.write( "y = 6x - x \n" ); document.write( "y = 5x \n" ); document.write( "therefore \n" ); document.write( "2x + 2(5x) = 12x \n" ); document.write( "Polygon with three times the perimeter: 5x by x \n" ); document.write( " \n" ); document.write( " |