Final answer:
To find the area of the rectangle with dimensions 9-d by 3, multiply length by width to get the expression (9-d) × 3, then distribute the 3 to obtain the expanded expression 27 - 3d.
Step-by-step explanation:
The question is asking to write and expand an expression for the area of a rectangle. The formula for the area is the product of its length and width. Given the dimensions 9-d (length) and 3 (width), we would first write the expression for the area as:
Area = Length × Width
Area = (9-d) × 3
To expand this expression without brackets, we distribute the 3 across the terms inside the parenthesis:
Area = 3 × 9 - 3 × d
Area = 27 - 3d
This expanded expression represents the area of the rectangle in a form that no longer contains brackets.