SOLUTION: 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 yo

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 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 yo      Log On


   

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.
Answer by drk(1908) About Me  (Show Source):
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.
PART A of your question want you to solve for W.
4L + 3W = 240
3W = 240 - 4L
W = 80 - (4/3)L
PART B:
step 1 - solve LW = 1000 for L. We get L = 1000/W.
step 2 - substitute L = 1000/W into the perimeter equation. We get 4000/W + 3W = 240.
step 3 - multiply both sides by W. We get 4000 + W^2 = 240W.
step 4 - solve for W using the quadratic. We get W = 18.0196.
step 5 - solve for L. L = 1000/W = 55.495
The dimensions of each corral is ~ 18 x 55.5.