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<br />### The length is 2.3 times the width $w$, so the length $l = 2.3w$.<br /><br />## Step 2: Write the formula for the perimeter<br />### The perimeter $P$ of a rectangle is given by the formula $P = 2(l + w)$.<br /><br />## Step 3: Substitute the expression for length into the perimeter formula<br />### Substitute $l = 2.3w$ into the perimeter formula: $P = 2(2.3w + w)$.<br /><br />## Step 4: Simplify the expression for the perimeter<br />### Combine the terms inside the parentheses: $P = 2(3.3w)$.<br />### Multiply: $P = 6.6w$.