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

3x^2+2s^2

2x^2+3s^2

2x^2−3s^2

3x^2−2s^2

Answer 1

To find the total area of the sign that needs to be painted, we need to calculate the area of the squares separately and then sum them up.

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

2. The area of one large square with side length \( x \) is \( x^2 \). Since there are 2 large squares, their total area is: \[ 2x^2 \]

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

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

The correct response is: 2x^2 + 3s^2.