document.write( "Question 885577: If the perimeter of a triangle is 30 and the lengths are x+3,2x and 4x-1 find the length of each side
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Algebra.Com's Answer #535244 by algebrapro18(249)![]() ![]() ![]() You can put this solution on YOUR website! So to find the perimeter of a figure you need to add up all the side lengths. So we will add up x+2, 2x, and 4x-1 and set it equal to 30(the given perimeter). \r \n" ); document.write( "\n" ); document.write( "x+2+2x+4x-1 = 30 moving like terms together \n" ); document.write( "x+2x+4x+2-1 = 30 combining like terms \n" ); document.write( "7x+1 = 30 Subtracting 1 from both sides \n" ); document.write( "6x = 29 Dividing both sides by 6 \n" ); document.write( "x = 29/6 \r \n" ); document.write( "\n" ); document.write( "Now we plug x into the given expressions for the side lengths and simplify. \r \n" ); document.write( "\n" ); document.write( "Side 1 = x+3 = 29/6 +3 = (29+18)/6 = 47/6 \n" ); document.write( "Side 2 = 2x = 2(29/6) = 29/3 \n" ); document.write( "Side 3 = 4x-1 = 4(29/6)-1 = 58/3 -1 = 55/3 \n" ); document.write( " |