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

A piece of decorative wire is bent into the shape of a rectangle. Its breadth is \(x\) cm and its length is \(3\) cm more than twice its breadth.

1. Find an expression, in terms of \(x\), for

1. the length of the rectangle,

   [1]

2. the perimeter of the rectangle.

   [1]

The same piece of wire is then bent to form a square of area \(144\text{ cm}^2\).

2. Find the perimeter of the square.

   [1]

3. Hence, form an equation in \(x\) and solve it.

   [2]

4. Find the area of the original rectangle.

   [2]