One Well That Ends Well

Geometry Level 4

A landlord is surveying his square field that has a well of square area of \(1\times 1 \text{ m}^2\) situated somewhere, and its sides are parallel to those of the field, as shown above.

After measuring the landscape, the landlord designs 4 different diagrams to keep his cattle within the (brown) rectangular areas, involving the well, and the L-shaped (yellow) areas will have different number of areas in \(\text m^2\) and will be used for farming, as depicted above.

What is the original green area in \(\text m^2\)?

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