Points with integer coordinates are called lattice points. The length of the rectangle is $5 - (-5) = 10$ units. There will be 9 lattice positions between the two vertical sides of the rectangle. The height of the rectangle is $4 - (-4) = 8$ units. There will be 7 lattice positions between the top and bottom of the rectangle. That's a total of $9 \times 7 = \boxed{63}$ lattice points.
Question:
Consider the rectangle with vertices at $(5,4),$ $(5,-4),$ $(-5,4),$ $(-5,-4)$. How many integer coordinates will be strictly inside the rectangular region?
Answer:
Let's think step by step.

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63
Consider the rectangle with vertices at $(5,4),$ $(5,-4),$ $(-5,4),$ $(-5,-4)$. How many integer coordinates will be strictly inside the rectangular region?
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