document.write( "Question 153707: I need help solving for variables in a word problem. I am not very good at word problems could someone please walk me through this problem.\r
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document.write( " The perimeter of a quadrilateral (4 sided polygon) is 29 inches. THe longest side is twice as long as the shortest side. The other two sides are equally long and are 2 inches longer than the shortest side. Find the length of all four sides.\r
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document.write( "Im not even sure how to pull an equation from this. please help
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document.write( "thank you \n" );
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Algebra.Com's Answer #113143 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! The idea is to assign a variable to things you don't know. \n" ); document.write( "In this case, every side is related to the \"shortest side\". So... \n" ); document.write( ". \n" ); document.write( "Let x = length of the shortest side \n" ); document.write( "2x = length of longest side \n" ); document.write( "x+2 = length of the last two sides \n" ); document.write( ". \n" ); document.write( "The problem gives us the perimeter as 29 inches: \n" ); document.write( "x + 2x + 2(x+2) = 29 \n" ); document.write( "Now, we solve for x: \n" ); document.write( "x + 2x + 2x + 4 = 29 \n" ); document.write( "5x + 4 = 29 \n" ); document.write( "5x = 25 \n" ); document.write( "x = 5 inches (shortest side) \n" ); document.write( "2x = 2(5) = 10 inches (longest side) \n" ); document.write( "x+2 = 5+2 = 7 inches (the two remaining sides) \n" ); document.write( " \n" ); document.write( " |