A climber has bars \(25 cm\) apart. (see Figure). The bars decrease uniformly in length from \(45 cm\) at the bottom to \(25 cm\) at the top. If the top and the bottom bars are \(2\frac{1}{2} m\) apart, find the length of the wood required for the bars?

The length of the wood required for the bars is \(cm\).