pre calc

suppose you have 102m of fencing to make two side by side rectangles, making one large rectangle when put together. What is the maxium area that you can enclose?

  1. 👍 0
  2. 👎 0
  3. 👁 712
asked by Kate
  1. I assume you wont have a double side on the adjoining sides.


    If you do this, you have 102 m of perimeter, to do 3 widths (two ends and center fence), and 2 lengths.

    Area= lw

    P= 3w+2L or L= 1/2(102-3w)
    Area= 1/2 w(102-3w)

    This is easy in calc, but I assume you are not there yet. So graph it, notice the max Area, read w. Then solve for l.

    In Calculus, the maximum Area occurs when dArea/dw=0

    dArea/dw=0=1/2 (102-3w) + 1/2w(-3) solve for w.

  2. Thank you so much for the help

    1. 👍 0
    2. 👎 0
    posted by Kate

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    Suppose you are asked to determine the perimeter of a seven-sided irregular figure. You make the following measurements: Side 1 = 3.2 m Side 2 = 4.8 m Side 3 = 2.000 m Side 4 = 8.94 m Side 5 = 11 m Side 6 = 7.566 m Side 7 = 4.0 m

    asked by Kevin on September 6, 2012
  2. calculus

    a farmer wants to make a rectangular pen from 200 feet of fencing. he plans to use a 100 foot wall along with some of the fencing to make one side of the pen. find the dimensions of the pen that will make the enclosed area as

    asked by tina on December 8, 2013
  3. math

    Farmer Hodges has 50 feet of fencing to make a rectangular hog pen beside a very large barn. He needs to fence only three sides because the barn will form the fourth side. Studies have shown that under those conditions the side

    asked by jamie lynn on June 13, 2012
  4. MATH ANALYSIS

    How should this be done? Suppose you have 132 m of fencing with which to make two side-by-side rectangular enclosures against an existing wall. if the rectangular enclosures are adjacent and of the same depth what is the maximum

    asked by anonymous on December 9, 2009
  5. MATH ANALYSIS

    How should this be done? Suppose you have 132 m of fencing with which to make two side-by-side rectangular enclosures against an existing wall. if the rectangular enclosures are adjacent and of the same depth what is the maximum

    asked by anonymous on December 9, 2009
  6. advanced math

    Suppose you have 168 meters of fencing with which to make two side-by-side rectangular enclosures against an existing wall. If the rectangular enclosures are adjacent and of the same depth, what is the maximum are that can be

    asked by thomas on November 3, 2011
  7. Calculus

    A farmer has 120 meters of wire fencing to make enclosures for his pigs and cows. The rectangular enclosure he is considering will have one side up against a barn (in the center of one side that is 150 meters long, so the

    asked by Shelby on October 30, 2012
  8. Math

    You have 700 ft of fencing to make a pen for hogs. If you have a river on one side of your property, what are the dimensions (in ft) of the rectangular pen that maximize the area? shorter side longer side

    asked by Meghan on April 7, 2018
  9. math

    Robbie needs to buy fencing for his square vegetable garden that measures 16 3/4 feet on a side. One side borders the back of the garage. The fencing costs $4 per feet. Estimate how much the fencing will cost. I NEED HELP!!!!!

    asked by gaby on December 17, 2012
  10. Precalculus

    You have a total of 820 feet of fencing to enclose a large retangular larea and divide it into four smaller pens of the same dimensions. The fencing used to divide the large pen must be parallel to the same side of the large

    asked by Jackie on June 19, 2012

More Similar Questions