document.write( "Question 162455: A Rectangular field whose length is 10 meters longer than its width is to be enclosed with exactly 100 meters of fencing material. What are the dimensions of the field? \n" ); document.write( "
Algebra.Com's Answer #119717 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Let L = the length of the field and W = the width of the field. \n" ); document.write( "From the problem description, you have: \n" ); document.write( "L = W+10 \"...length is 10 meters longer than its width...\" \n" ); document.write( "The perimeter of a rectangle is given by: \n" ); document.write( "P = 2(L+W) and this is 100 meters, substituting L = W+10 and P = 100, you get: \n" ); document.write( "100 = 2((W+10)+W) Simplifying this, you get: \n" ); document.write( "100 = 2(2W+10) Divide both sides by 2. \n" ); document.write( "50 = (2W+10) Subtracting 10 from both sides gives you: \n" ); document.write( "40 = 2W Finally, dividing both sides by 2, you'll get: \n" ); document.write( "W = 20 and L = W+10 = 20+10 = 30. \n" ); document.write( "The length of the field is 30 meters and the width of the field is 20 meters. \n" ); document.write( " |