document.write( "Question 320920: The length of the sides of a square and the sides of a regular octagon are the same. The area of the square is 196 square centimeters. What is the perimeter of the octagon? Express your answer in centimeters. \n" ); document.write( "

Algebra.Com's Answer #229826 by GreatDane(2) $\"\"$ $\"About$

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According to your problem, the sides of both the octagon and the square are the same length. \r
\n" ); document.write( "\n" ); document.write( "Let x = the length of each side.\r
\n" ); document.write( "\n" ); document.write( "It does not matter to which polygon x belongs to since all side lengths are equal.\r
\n" ); document.write( "\n" ); document.write( "The perimeter ( length around ) the square is 196. There are four sides to a square. You can write an equation to determine the length of each side.\r
\n" ); document.write( "\n" ); document.write( "4x = 196
\n" ); document.write( "Divide both sides by 4 to find the length of one side and solve for x.
\n" ); document.write( "x = 49\r
\n" ); document.write( "\n" ); document.write( "The octogon has 8 sides. Because it is a regular octagon, its side lengths are all the same.\r
\n" ); document.write( "\n" ); document.write( "To find the perimeter of the octagon, multiply x by 8.
\n" ); document.write( "8x = 392\r
\n" ); document.write( "\n" ); document.write( "So, the octagon's perimeter is 392 centimeters. Don't forget the units! \n" ); document.write( "

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