document.write( "Question 525814: The length of an equilateral hexagon is 4 inches less than the the length of a side of a square. The perimeter of the hexagon is equal to the perimeter of the square. Find the length of a side of the hexagon and the length of a side of the square. \n" ); document.write( "
Algebra.Com's Answer #348225 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Let the length of the side of the square = x, then the length of the side of the equilateral (regular) hexagon (six-sided polygon) is (x-4), so... \n" ); document.write( "For the square, the perimeter (P) is: \n" ); document.write( "P = 4x. \n" ); document.write( "For the regular hexagon, the perimeter (P) is: \n" ); document.write( "P = 6(x-4). Set the two perimeters equal. \n" ); document.write( "6(x-4) = 4x Simplify and solve for x. \n" ); document.write( "6x-24 = 4x \n" ); document.write( "2x = 24 \n" ); document.write( "x = 12 \n" ); document.write( "The length of a side of the square = 12 inches. \n" ); document.write( "The length of a side of the regular hexagon = x-4 = 12-4 = 8 inches. \n" ); document.write( " |