Linear Equations and Inequalities - Applications of Linear Equations in Real Life

A ribbon is used to form the boundary of a rectangle. The breadth of the rectangle is \(x\) cm.
The breadth is \(2\) cm less than one-third of the length.

1. Show that the length of the rectangle can be written as \(3x+6\).

   [1]

2. Find an expression, in terms of \(x\), for the perimeter of the rectangle.

   [1]

The same ribbon is then used to form a square whose area is \(225\text{ cm}^2\).

3. Find the perimeter of the square.

   [1]

4. Hence, form an equation in \(x\) and find the dimensions of the original rectangle.

   [2]

5. Find the area of the original rectangle.

   [2]