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We know that
L + W = 10 <<<---=== 10 =
, half of the perimeter.
We also know that L = 2W - 2. Substitute it into very first equation. You will get
(2W-2) + W = 10, or
2W - 2 + W = 10,
3W = 10 + 2 = 12 ====> W = 12/3 = 4.
Answer. The width is 4 meters.
Solved.