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