Posted by **Kara** on Monday, November 12, 2012 at 9:40am.

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 -
**Steve**, Monday, November 12, 2012 at 10:07am
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!

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