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