A sign is being painted that includes 3 small squares with a side length of s and 2 large ones with a side length of S. Write an expression to find the total area of the sign that needs to be painted.(1
To find the total area of the sign that needs to be painted, we need to add up the areas of the small squares and the large squares.
The area of a square is found by multiplying the length of one side by itself.
For the small squares, each side has a length of s. Therefore, the area of each small square is s * s = s^2.
Since there are 3 small squares, we would multiply the area of one small square by 3 to get the total area of the small squares: 3 * s^2.
For the large squares, each side has a length of S. Therefore, the area of each large square is S * S = S^2.
Since there are 2 large squares, we would multiply the area of one large square by 2 to get the total area of the large squares: 2 * S^2.
To find the total area of the sign that needs to be painted, we would add the total area of the small squares and the total area of the large squares:
Total area = 3 * s^2 + 2 * S^2.