Ask Question
16 April, 01:08

You have 1200 feet of fencing and you want to make two fenced in enclosures by splitting one enclosure in

half. What are the largest dimensions of this enclosure that you could build?

+3
Answers (1)
  1. 16 April, 01:17
    0
    Let x = length and y = width

    You would have 2 lengths, so 2x and 3 widths, so 3y

    Those need to equal total length of fence:

    2x + 3y = 1200

    The 3 widths would equal total fence minus the 2 lengths:

    3Y = 1200-2x

    Solve for y: y = 400 - 2/3x

    Area = length x width = xy. Replace y:

    Area = x (400-2/3x) = 400x-2/3x^2

    Differentiate:

    400-4x/3 = 0

    4x/3 = 400

    4x = 1200

    X = 300

    Y = 400-2/3 (300) = 200

    The dimension would be 300 ft x 200 ft
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “You have 1200 feet of fencing and you want to make two fenced in enclosures by splitting one enclosure in half. What are the largest ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers