To find the area of the sidewalk, we can use the formula for the area of a rectangle, which is given by the product of its height \( h \) and width \( w \).
Given:
- Height \( h = x \)
- Width \( w = x + 1 \)
The area \( A \) of the rectangle can be expressed as:
\[ A = h \cdot w = x \cdot (x + 1) \]
Now, we can simplify this expression:
\[ A = x(x + 1) = x^2 + x \]
Looking at the answer choices, it seems like we're looking for something equivalent to \( x^2 + x \).
From the options you provided, the correct expression reflecting the area of the sidewalk is \( x^2 + x \).
If we analyze the answer choices you requested:
- 3, x, squared, plus, x
- 3, x, squared, plus, 3x
- 4, x, squared, plus, x
- 4, x, squared, plus, 3x
The choice that matches our derived expression \( x^2 + x \) is the first one: 3, x, squared, plus, x (assuming the "3" is not part of the equation, as it should have been "x^2 + x").
Therefore, the appropriate answer would highlight the correct expression without the extra coefficient and should ideally represent \( x^2 + x \).
Final answer: x^2 + x (but given your choices, the first might be interpreted if we ignore the '3').