Question

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

Answer 1

To find the area of the sidewalk with height \( h \) and width \( w \), you can use the formula for the area of a rectangle, which is given by:

\[
\text{Area} = \text{height} \times \text{width}
\]

Given that:
- \( h = x \)
- \( w = x + 1 \)

Substituting these values into the area formula:

\[
\text{Area} = h \times w = x \times (x + 1)
\]

Now, simplify the expression:

\[
\text{Area} = x(x + 1) = x^2 + x
\]

Therefore, the expression that describes the area of the sidewalk is:

\[
\text{Area} = x^2 + x
\]