document.write( "Question 565545: A farmer plans to enclose a rectangular field, whose length is 16 meters more than its width, with 140 meters of chain-link fencing. What are the dimensions of the field? \n" ); document.write( "
Algebra.Com's Answer #365857 by Leaf W.(135)![]() ![]() You can put this solution on YOUR website! The 140 meters of chain-link fencing represents the perimeter of the rectangular field. Since perimeter is the sum of the lengths of a figure's sides, the perimeter of the field is width + length + length + width, or 2(width) + 2(length). Now let us find some variable expressions for the length and width: \n" ); document.write( "width: x \n" ); document.write( "length: x + 16 (16 meters more than the width) \n" ); document.write( "Now plug these values for perimeter, width, and length into the equation: \n" ); document.write( "perimeter = 2(width) + 2(length) \n" ); document.write( "140 = 2x + 2(x + 16) \n" ); document.write( "Distribute the 2: 140 = 2x + 2x + 32 \n" ); document.write( "Add like terms: 140 = 4x + 32 \n" ); document.write( "Subtract 32 from both sides: 108 = 4x \n" ); document.write( "Divide both sides by 4: 27 = x \n" ); document.write( "=> The width of the field is 27 meters. \n" ); document.write( "To find the length, put this value in for x in the expression for length: x + 16 = 27 + 16 = 43 \n" ); document.write( "=> The length of the field is 43 meters. \n" ); document.write( "***THEREFORE, THE LENGTH OF THE FIELD IS 43 METERS AND THE WIDTH IS 27 METERS.*** \n" ); document.write( "Hope I helped! =) \n" ); document.write( " |