document.write( "Question 1020860: The perimeter of an equilateral triangle is 77 inches more than the perimeter of a square, and the side of the triangle is 55 inches longer than the side of the square. Find the side of the triangle. (Hint: An equilateral triangle has three sides the same length. \n" ); document.write( "

Algebra.Com's Answer #636669 by ikleyn(52786) $\"\"$ $\"About$

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\n" ); document.write( "The perimeter of an equilateral triangle is 77 inches more than the perimeter of a square, and the side of the triangle is 55 inches longer than the side of the square. Find the side of the triangle. (Hint: An equilateral triangle has three sides the same length.
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document.write( "From the condition, you have this system of equations:\r\n" );
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document.write( "3t = 4s + 77,     (1)\r\n" );
document.write( " t = s + 55,      (2)\r\n" );
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document.write( "where t = the length of the side of the triangle, s is that of square.\r\n" );
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document.write( "To solve it, simply substitute the expression t = s + 5 of (2) into equation (1). You will get an equation for one single unknown\r\n" );
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document.write( "3*(s+55) = 4s + 77,\r\n" );
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document.write( "which is easy to solve:\r\n" );
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document.write( "s = 165 - 77 = 88.\r\n" );
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document.write( "Then t = s + 55 = 88 + 55 = 143.\r\n" );
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