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