If we let the house assume a parallelogram shape, then the above numbers change.

If the tie point is closest to an angle that becomes acute, the accessible area increases.

If the closest corner becomes obtuse, the accessible area decreases.

The extreme case is that the house collapses into a 100 foot wall.

The accessible area depends on the distance* x* the dog is tethered from the end of the wall

If **x** = 0 (end) the maximum accessible area is the 80-foot radius circle: **6400 pi **square feet.

If* ***x** = 50 (midpoint) the accessible area hits a minimum: **4100 pi **square feet.

The previously found areas occur at intermediate values of **x**:

**x**. . . Area/pi

--------------

0 .....6400

15.2 ..5300

20 ... 5000

27.6 ..4600

30 . ..4500

50 .. 4100