What is the area expression for a rectangle with dimensions 2 and x+2?

What is the area expression for a rectangle with dimensions 2 and x+2?

• A. 2(x+2)
• B. (x+2)^2
• C. 2x+2
• D. 4x+2

Answer: (A)

Area is found by multiplying the two side lengths of a rectangle. With one side length 2 and the other x+2, you multiply: 2 × (x+2). This can stay as 2(x+2) or be expanded to 2x+4. The other forms don’t match these dimensions: (x+2) squared would require both sides to be x+2; 2x+2 misapplies the distribution by not including the 4 from 2 × 2; and 4x+2 doesn’t come from multiplying 2 by (x+2).

Area is found by multiplying the two side lengths of a rectangle. With one side length 2 and the other x+2, you multiply: 2 × (x+2). This can stay as 2(x+2) or be expanded to 2x+4. The other forms don’t match these dimensions: (x+2) squared would require both sides to be x+2; 2x+2 misapplies the distribution by not including the 4 from 2 × 2; and 4x+2 doesn’t come from multiplying 2 by (x+2).