document.write( "Question 1000084: Given that the sides of an equilateral triangle is 4a + 6,3b - 2a, and 2b + 2 respectively find the perimeter of the triangle \n" ); document.write( "

Algebra.Com's Answer #617665 by fractalier(6550) $\"\"$ $\"About$

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All three sides are equal (4a + 6,3b - 2a, and 2b + 2)...
\n" ); document.write( "so set the first two equal and get
\n" ); document.write( "4a + 6 = 3b - 2a
\n" ); document.write( "or
\n" ); document.write( "6a - 3b = -6
\n" ); document.write( "or
\n" ); document.write( "2a - b = -2
\n" ); document.write( "Then set the last two equal and get
\n" ); document.write( "3b-2a=2b+2
\n" ); document.write( "or
\n" ); document.write( "b - 2a = 2
\n" ); document.write( "or
\n" ); document.write( "2a - b = -2 (same information)
\n" ); document.write( "Then the first and third and get
\n" ); document.write( "4a + 6 = 2b + 2
\n" ); document.write( "or
\n" ); document.write( "4a - 2b = -4
\n" ); document.write( "or
\n" ); document.write( "2a - b = -2 (same information)
\n" ); document.write( "Thus you cannot find both a and b, but you can
\n" ); document.write( "express all three sides in terms of a, since
\n" ); document.write( "b = 2a + 2
\n" ); document.write( "Thus the three sides added are (4a + 6)+(3b - 2a)+(2b + 2) =
\n" ); document.write( "4a + 6 + 3(2a + 2) - 2a + 2(2a +2) + 2 =
\n" ); document.write( "12a + 18 \n" ); document.write( "

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