The length of a rectangle is 2.3 times its width.The width of the rectangle is w metres.If the perimeter of the rectangle is P metres, express P in terms of w

## Step 1: Express the length in terms of width### The length is 2.3 times the width , so the length .## Step 2: Write the formula for the perimeter### The perimeter of a rectangle is given by the formula .## Step 3: Substitute the expression for length into the perimeter formula### Substitute into the perimeter formula: .## Step 4: Simplify the expression for the perimeter### Combine the terms inside the parentheses: .### Multiply: .