Subjects geometry

Total Beam Length 69F928

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1. **State the problem:** We need to find the total length of 12 vertical support beams on a bridge. There are 6 beams on each side, evenly spaced along the length of the bridge. 2. **Given data:** The length of the bridge is 14.1 m on one side and 14.2 m on the other side. 3. **Understanding the spacing:** Since the 6 beams are equidistantly spaced along each side, the distance between adjacent beams is the length divided by 5 (because 6 beams create 5 intervals). 4. **Calculate the length of each beam:** The beams are vertical supports, so their length corresponds to the height or vertical dimension, but since the problem states the beams run along the length, we assume each beam length equals the length of the bridge side. 5. **Calculate total length of beams on each side:** - Side 1 total length = 6 beams \times 14.1 m = $6 \times 14.1 = 84.6$ m - Side 2 total length = 6 beams \times 14.2 m = $6 \times 14.2 = 85.2$ m 6. **Calculate total length of all 12 beams:** $$\text{Total length} = 84.6 + 85.2 = 169.8 \text{ m}$$ 7. **Final answer:** The total length of the 12 vertical support beams is **169.80 m** (rounded to 2 decimal places).