Subjects algebra

Tape Rolls Needed 8289F4

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1. **State the problem:** We need to find how many rolls of tape are required to tape off the perimeter of a four-sided crime scene with sides 45 ft, 54.9 ft, 25.6 ft, and 51.3 ft. 2. **Formula:** The total length of tape needed is the perimeter of the shape, which is the sum of all side lengths: $$\text{Perimeter} = 45 + 54.9 + 25.6 + 51.3$$ 3. **Calculate the perimeter:** $$45 + 54.9 = 99.9$$ $$99.9 + 25.6 = 125.5$$ $$125.5 + 51.3 = 176.8$$ So, the perimeter is $$176.8$$ feet. 4. **Determine the number of rolls:** Each roll is 50 feet long. The number of rolls needed is the perimeter divided by 50: $$\frac{176.8}{50}$$ 5. **Simplify the division:** $$\frac{\cancel{176.8}}{\cancel{50}} = 3.536$$ 6. Since you cannot buy a fraction of a roll, round up to the next whole number: $$4$$ rolls are needed. **Final answer:** 4 rolls of tape are required to tape off the crime scene.
45 ft54.9 ft25.6 ft51.3 ft