A sign is being painted that includes 3 small squares with a side length of 8 and 2 large ones with a side length of S.
To find the total area of the sign, we first calculate the area of each square:
Area of a small square = side length^2
= 8^2
= 64
Area of a large square = side length^2
= S^2
Since there are 3 small squares and 2 large squares in the sign, the total area is:
Total area = (3 x 64) + (2 x S^2)
= 192 + 2S^2
= 2S^2 + 192
Therefore, the total area of the sign is 2S^2 + 192.