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To find the area of the rectangle, we start by using the formula for the area of a rectangle:

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

In this case:
- The length of the rectangle is \( 9 - d \).
- The width of the rectangle is \( 3 \).

Thus, the expression for the area is:

\[
\text{Area} = (9 - d) \times 3
\]

Now, we expand this expression by distributing \(3\) over \(9 - d\):

\[
\text{Area} = 3 \times 9 - 3 \times d
\]
\[
\text{Area} = 27 - 3d
\]

So, the expanded expression for the area of the rectangle, without any brackets, is:

\[
\text{Area} = 27 - 3d
\]

Would you like more details or have any questions?

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Here are some related questions that build on this concept:

1. How would the area change if the width was increased to \(4\) instead of \(3\)?
2. What would the area expression be if the length was doubled?
3. How would you solve for \(d\) if you knew the area was equal to \(15\)?
4. Can you find the perimeter of the rectangle given the expressions for length and width?
5. What would the expression look like if the width was a variable, say \(w\), instead of a fixed \(3\)?

**Tip:** When simplifying expressions, always distribute any constants outside the brackets across each term inside.

Write an expression for the area of this rectangle. Expand your expression so that your answer does not contain brackets.

Learn how to calculate and expand the expression for the area of a rectangle with variable length (9 - d) and width 3. This problem covers algebraic expansion and area calculation, ideal for Grades 6-8 students.

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