The dimensions, in centimetres, of this rectangle are shown as algebraic expressions.Work out the length and width of the rectangle.(6 marks)

To help you effectively work out the length and width of the rectangle based on the provided algebraic expressions, I will outline the steps needed for solving this problem.

1. Break Down the Problem

Identify the given algebraic expressions for the length and width of the rectangle. This is important to isolate the variables and understand the relationships.

2. Relevant Concepts

Recall the properties of a rectangle, specifically:

• Length $L$
• Width $W$

The area $A$ of a rectangle is given by the formula: $A = L \times W$

Assuming you have the algebraic expressions for length and width (e.g., $L = 2x + 3$ and $W = x + 1$), you'll need to work with these expressions.

3. Analysis and Detail

1. Substitute the expressions for Length and Width: Use the algebraic expressions provided.
2. If both sides of the rectangle are given (like the perimeter or area), set up the appropriate equation.
3. Solve for any variables present in the expressions.

4. Verify and Summarize

1. Verify that your computations are correct, if you derived variable values.
2. Check if the calculated length and width satisfy the original expressions.
3. Summarize the findings succinctly.

Final Answer

Once you've performed the calculations according to the above steps, report the specific numerical values for the length and width, ensuring they are in centimeters as requested.

If you can provide the algebraic expressions, I can assist further in calculating the length and width!