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Hi,
Letting x represent the length and (x/2 + 4) the width
Perimeter is the distance around the pool.
Question states:
x + x + (x/2 + 4) + (x/2 + 4) = 100m
Solving for x
3x + 8 = 100m
3x = 92m
x = 30.67m , the length of the pool, width is 19.33m (30.67/2 + 4)
CHECKING our Answer
2 * 30.67m + 2*19.33m = 100m