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 point)
Responses
2S2−3s2
, 2 upper S squared minus 3 s squared
3S2+2s2
3 upper S squared plus 2 s squared
2S2+3s2
2 upper S squared plus 3 s squared
3S2−2s2
3 upper S squared minus 2 s squared
A i think
3S2−2s2
To find the total area of the sign that needs to be painted, we need to calculate the areas of the 3 small squares and the 2 large squares separately, and then sum them up.
The area of a square is given by the formula A = s^2, where s represents the length of a side.
For the 3 small squares, since each square has a side length of s, their total area is 3s^2.
For the 2 large squares, since each square has a side length of S, their total area is 2S^2.
To find the expression for the total area of the sign, we just need to sum up the areas of the small squares and the large squares:
Total Area = 3s^2 + 2S^2
Therefore, the correct expression for the total area of the sign that needs to be painted is 3S^2 + 2s^2.