A sign is being painted that includes three small squares with a side length of S and two large ones with a side length of S written expression to find the total area of side that needs to be painted. (A) 2S + 3s^2

The total area that needs to be painted is equal to the sum of the areas of the three small squares and the two large ones.

The area of each small square is given by s^2. Since there are three small squares, the total area of the small squares is 3s^2.

The area of each large square is given by s^2. Since there are two large squares, the total area of the large squares is 2s^2.

Therefore, the total area that needs to be painted is 3s^2 + 2s^2.

Simplifying this expression, we get:

Total area = 5s^2

So, the written expression to find the total area that needs to be painted is 5s^2.