document.write( "Question 60761: The side of a equilateral triangle is 6 inches shorter than the side of a square. The perimeter of the square is 36 inches more than the perimeter of the triangle. Find the length of a side of the square. \n" ); document.write( "
Algebra.Com's Answer #41720 by jai_kos(139)![]() ![]() ![]() You can put this solution on YOUR website! Solution:\r \n" ); document.write( "\n" ); document.write( "Let the side of the square be “x”. \n" ); document.write( "The perimeter of the square = 4x \n" ); document.write( "Since the side of a equilateral triangle is 6 inches shorter than the side of a square, \n" ); document.write( "We can write it as, \n" ); document.write( "The side of the equilateral triangle is x - 6 \n" ); document.write( "The perimeter of the triangle = (x - 6) + (x - 6) + (x - 6) \n" ); document.write( " = 3(x - 6) \n" ); document.write( "Given that the perimeter of the square is 36inches more than perimeter of the triangle.\r \n" ); document.write( "\n" ); document.write( "The perimeter of the square = 36 + 3 (x -6) \n" ); document.write( " 4x = 36 - 18 + 3x \n" ); document.write( " 4x = 18 – 3x \n" ); document.write( " 4x -3x = 18 \n" ); document.write( " x = 18 \n" ); document.write( " x = 18 inch\r \n" ); document.write( "\n" ); document.write( "The length of the side of the square = 18inch \n" ); document.write( " \n" ); document.write( " |