If z is a complex number such that `|z - barz| +|z + barz| = 4` then find the area bounded by the locus of z.

Explanation

To solve the problem, we start with the equation given:

\[ |z - \bar{z}| + |z + \bar{z}| = 4 \]

1. **Express \( z \) in terms of its real and imaginary parts**:
Let \( z = x + iy \), where \( x \) is the real part and \( y \) is the imaginary part. The conjugate \( \bar{z} \) is \( x - iy \).
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