To find the total length \(s\) of the long piece of string that Diana cuts into 8 equal pieces, we need to understand that each of those pieces measures 1.25 feet. Therefore, to get the total length of the string, we can multiply the number of pieces by the length of each piece.
The equation to represent this situation is:
\[ s = 8 \times 1.25 \]
So, the equation you can use to find the length \(s\) of the long piece of string before Diana cuts it is:
\[ s = 8 \cdot 1.25 \]