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72 units

Step-by-step explanation:

There are two ways to solve the problems.

Count graphically, horizontally there are 9 units, vertically there are 8 units in the rectangle.  So the area is 9*8 = 72 units.

Alternatively, check the difference between two adjacent vertices,

1. between (4,-3) and (4,5), the difference is (0,8), or 8 units.

2. between (4,5) and (-5,5), the difference is (9,0), or 9 units.

So again, the area of the square is 8*9=72 units.

step-by-step explanation: s