Question

Write an expression to describe the area of the sidewalk
h = x
w = x +1

answer choices ;
3, x, squared, plus, x3x
2
+x
3, x, squared, plus, 3, x3x
2
+3x
4, x, squared, plus, x4x
2
+x
4, x, squared, plus, 3, x4x
2
+3x

Answer 1

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:

1. **3, x, squared, plus, x**
2. **3, x, squared, plus, 3x**
3. **4, x, squared, plus, x**
4. **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').