rectangles with the perimeter of 16 centimeters and sides whose lengths a whole centimeters. Label the lengths of two adjacent sides of each rectangle.

To find rectangles with a perimeter of 16 centimeters and sides whose lengths are whole numbers, we can start by listing out the possible combinations of side lengths.

Let's assume the length of two adjacent sides of the rectangle are labeled as "a" and "b".

For a rectangle, the perimeter (P) is given by the formula:
P = 2(a + b)

Given that the perimeter is 16 centimeters, we can substitute it into the formula:
16 = 2(a + b)

Dividing both sides of the equation by 2, we get:
8 = a + b

Now, we need to find the possible combinations of whole numbers a and b that satisfy the equation.

By listing out all the possible pairs of whole numbers that sum up to 8, we can find the combinations:

1 + 7 = 8
2 + 6 = 8
3 + 5 = 8
4 + 4 = 8

Now, let's label the lengths of two adjacent sides of each rectangle:
For the pair 1 + 7, we have one side of length 1 centimeter and the adjacent side of length 7 centimeters.
For the pair 2 + 6, one side is 2 centimeters and the other is 6 centimeters.
For the pair 3 + 5, one side is 3 centimeters and the other is 5 centimeters.
For the pair 4 + 4, both sides are 4 centimeters.

So, the rectangles with the perimeter of 16 centimeters and sides whose lengths are whole centimeters are:
1. Rectangle with sides of length 1 cm and 7 cm.
2. Rectangle with sides of length 2 cm and 6 cm.
3. Rectangle with sides of length 3 cm and 5 cm.
4. Rectangle with sides of length 4 cm and 4 cm.