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 plus 2 s squared

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

2x2−3s2
2 x squared minus 3 s squared

3x2−2s2

Answer 1

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

1. Area of the small squares: There are 3 small squares, each with a side length of \( s \). The area of one small square is \( s^2 \), so the total area for the 3 small squares is: \[ 3s^2 \]

2. Area of the large squares: There are 2 large squares, each with a side length of \( x \). The area of one large square is \( x^2 \), so the total area for the 2 large squares is: \[ 2x^2 \]

3. Total area: Combine the areas of the small and large squares: \[ \text{Total area} = 3s^2 + 2x^2 \]

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

So, the answer is: 2x^2 + 3s^2 (2 x squared plus 3 s squared)