document.write( "Question 251190: You have 240 feet of wooden fencing to form two adjacent rectangular corrals as shown you want each corral to have an area of 1000 square feeet. A. Show that w+ 80- 4/3l. B. Use your answer from part a to find the possible dimensions of each corral. \n" ); document.write( "
Algebra.Com's Answer #183992 by drk(1908)![]() ![]() ![]() You can put this solution on YOUR website! You have a figure to look at which is good. There are 4 Length parts and 3 Width parts . . . Hope that makes sense. The perimeter can be expressed as 4L + 3W = 240. Now we have 2 pens each with an area of LW = 1000. \n" ); document.write( "PART A of your question want you to solve for W. \n" ); document.write( "4L + 3W = 240 \n" ); document.write( "3W = 240 - 4L \n" ); document.write( "W = 80 - (4/3)L \n" ); document.write( "PART B: \n" ); document.write( "step 1 - solve LW = 1000 for L. We get L = 1000/W. \n" ); document.write( "step 2 - substitute L = 1000/W into the perimeter equation. We get 4000/W + 3W = 240. \n" ); document.write( "step 3 - multiply both sides by W. We get 4000 + W^2 = 240W. \n" ); document.write( "step 4 - solve for W using the quadratic. We get W = 18.0196. \n" ); document.write( "step 5 - solve for L. L = 1000/W = 55.495 \n" ); document.write( "The dimensions of each corral is ~ 18 x 55.5. \n" ); document.write( " |