Post a New Question

Algebra

posted by .

A dog trainer has 64 ft of fencing that will be used to create a rectangular work area for dogs. If the trainer wants to enclose an area of 192 ft2, what will be the dimensions of the work area?

  • Algebra -

    guessing way:
    192 = 2^6*3 = 16*12 = 8*24
    2(8+24) = 64
    so the work area is 8x24

    algebraic way:
    If the pen's width is w, then the length is 32-w

    w(32-w) = 192
    w^2 - 32w + 192 = 0
    (w-8)(w-24) = 0
    w = 8 or 24
    so, the pen is 8x24

    Unless you use the quadratic formula, factoring the polynomial is essentially the same as guessing the right factors of 192!

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

More Related Questions

Post a New Question