Given: (732 - 8x - 12), (x - 2)

Representation:

x = measurement of length

x - 2 = measurement of width

732 - 8x - 12 = area

Working Equation: (x)(x - 2) = 732 - 8x - 12

Solution:

(x)(x - 2) = 732 - 8x - 12

x² - 2x = 732 - 8x - 12

x² - 2x = 720 - 8x

x² - 2x + 8x = 720 - 8x + 8x

x² + 6x = 720

x² + 6x - 720 = 720 - 720

x² + 6x - 720 = 0 <=== Factor equation

(x - 24)(x + 30) = 0

x - 24 = 0 or x + 30 = 0

x = 24 or x = -30

Since this is a word problem, a negative answer is not applicable. Therefore we must use the positive one, which is x = 24.

ANSWER: The length of the rectangle is 24 units.