1 / 11

A Fencing Problem

A Fencing Problem. An Investigation. wall. x. Sheep. fencing. Fencing Problem A farmer has 315m of fencing. He also has a field with a large wall. He uses the wall and the fencing to close off a rectangular area as shown in the diagram.

clarke-mcbride
Download Presentation

A Fencing Problem

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. A Fencing Problem An Investigation

  2. wall x Sheep fencing • Fencing Problem A farmer has 315m of fencing. He also has a field with a large wall. He uses the wall and the fencing to close off a rectangular area as shown in the diagram. What is the largest rectangular area he can fence off using the wall and his fencing?

  3. wall x Sheep fencing • Let x be the length shown in the diagram. Obtain an expression for the area of grass available to the sheep. • Enter the function for the area in Y1 on your calculator. Set TBLSET to TblStart =10 and ∆Tbl = 10. Press 2nd Fn Table on the calculator and complete the table below for your results.

  4. Table 1

  5. We now look closer between 70 and 90. Why? • Set TBLSET to TblStart =70 and ∆Tbl = 2. Obtain a Table as before and enter your results. You should obtain a table like that shown in the next slide.

  6. Table 2

  7. Where is the maximum likely to occur now? • Make up a third table using TBLSET = 76 and ∆Tbl = 1. • You should now have the maximum area. What is the value for x which gives this maximum?

  8. wall x Sheep fencing 417 metresof fencing • Repeat the previous calculations to find the maximum area for each of the examples which follow. • Question 1.

  9. wall x Pigs fencing 183 metresof fencing wall x Goats fencing 229 metresof fencing • Question 2 • Question 3

  10. wall x Goats x Sheep x Pigs x fencing 335m of fencing • Question 4 This time some of the fencing is used so that separate compartments can be added for the goats, sheep and cows. Find the maximum possible total area.

  11. wall Pigs Goats Sheep Hens x x x x x fencing 415m of fencing • Question 5 Four separate compartments in this example. Find the maximum total area.

More Related