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Let's denote the width of the rectangle as x.
According to the given information, the length of the rectangle is 2 ft less than three times its width. Thus, the length can be expressed as 3x - 2.
The area of a rectangle is given by the formula A = length * width. Plugging in the values, we have:
A = (3x - 2) * x
When the width is 2 ft, we substitute x = 2 into the formula:
A = (3(2) - 2) * 2
= (6 - 2) * 2
= 4 * 2
= 8
Therefore, when the width is 2 ft, the area of the rectangle is 8 square feet.