The length of the rectangle is 8 cm. This is a cm longer than its width. Write down the area of this rectangle as an expression.

We know that the area of a rectangle is found based on their formula:

S = a * b

where:
S – area of the rectangle,
a – its length,
b is the width of the rectangle.

From the problem statement, we know that the length of the rectangle is 8 centimeters, that is, a = 8 cm, and its width is a centimeters less than the length. Thus, we get that the width is b = 8-a centimeters.

Substitute the resulting values into the original formula and we get that the formula for finding the area of a rectangle will take the following form:

S = a * b = 8 * (8-a) = 64-8 * a