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Let the width of the rectangle be x.
The length of the rectangle is then 2x - 4 (four meters less than twice the width).
The formula for the area of a rectangle is length × width.
Substituting the values, the area of the rectangle is:
x(2x - 4) = 96
Simplifying the equation:
2x^2 - 4x - 96 = 0
We can solve this quadratic equation to find the values of x (width):
Using trial and error, we find that x = 8 satisfies the equation.
Therefore, the width of the rectangle is 8 meters.
The length of the rectangle is 2(8) - 4 = 16 - 4 = 12 meters.
So, the length of the rectangle is 12 meters and the width is 8 meters.