A 10 -ft bar of l-beam weighs 201 lb . What is the weight of a \( 11-\mathrm{ft} \) length? The weight of a 11 -ft bar is \( \square \mathrm{lb} \). (Simplify your answer.)
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To find the weight of a \( 11-\mathrm{ft} \) length of the l-beam, we can determine the weight per foot of the original \( 10-\mathrm{ft} \) beam. Since the \( 10-\mathrm{ft} \) beam weighs \( 201 \mathrm{ lb} \), we calculate the weight per foot as follows: \[ \text{Weight per foot} = \frac{201 \mathrm{ lb}}{10 \mathrm{ ft}} = 20.1 \mathrm{ lb/ft} \] Now, multiply by the new length: \[ \text{Weight of } 11 \mathrm{ ft} = 20.1 \mathrm{ lb/ft} \times 11 \mathrm{ ft} = 221.1 \mathrm{ lb} \] So the weight of an \( 11-\mathrm{ft} \) bar is **221.1 lb**.