A sign is being painted that is comprised of 3 small squares with a side length of s

Question

and 2 large squares with a side length of x
. Write an expression to find the total area of the sign that needs to be painted. (1 point)
Responses

3x2−2s2
3 x squared minus 2 s squared

2x2−3s2
2 x squared minus 3 s squared

2x2+3s2
2 x squared plus 3 s squared

3x2+2s2

Answer 1

To find the total area of the sign that needs to be painted, we will calculate the areas of the small squares and the large squares separately and then add them together.

1. The area of one small square is \( s^2 \). Since there are 3 small squares, the total area for the small squares is: \[ 3s^2 \]

2. The area of one large square is \( x^2 \). Since there are 2 large squares, the total area for the large squares is: \[ 2x^2 \]

Now, we combine the areas of the small and large squares to find the total area: \[ \text{Total Area} = 3s^2 + 2x^2 \]

Thus, the expression for the total area of the sign that needs to be painted is: \[ 2x^2 + 3s^2 \]

Therefore, the correct response is: 2x² + 3s² (2 x squared plus 3 s squared).