The Golden Gate Bridge in California is \( 8,976 \mathrm{ft} \) long and 90 ft wide. What would be the length of reproduction of the bridge if the width were 2 ft ? Round the answer to the nearest tenth of a unit.
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To find the length of the reproduction of the Golden Gate Bridge with a width of 2 ft, we can use a ratio based on the original dimensions. The original width is 90 ft, and the original length is 8,976 ft. First, we set up the ratio of the new width to the original width: \[ \text{Scale Factor} = \frac{\text{New Width}}{\text{Original Width}} = \frac{2 \text{ ft}}{90 \text{ ft}} = \frac{2}{90} = \frac{1}{45} \] Now, we apply the scale factor to the original length: \[ \text{New Length} = \text{Original Length} \times \text{Scale Factor} = 8,976 \text{ ft} \times \frac{1}{45} \approx 199.5 \text{ ft} \] Rounding to the nearest tenth, the length of the reproduction would be \( 199.5 \text{ ft} \).