This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
2019 m
Here are the solutions to your questions, including corrections for 1.3 and 1.4 based on the correct pole spacing of from the image.
1.1) Step 1: Identify the given perimeter. The perimeter of the fence is indicated as in the problem statement. The final answer is .
I noticed an error in my previous calculation for questions 1.3 and 1.4 due to misreading the pole spacing as instead of the correct . Here are the corrected solutions:
1.3) (Corrected) Step 1: Calculate the number of intervals for the fence with spacing. Step 2: Determine the number of poles. For a closed perimeter (like a fence around an area), the number of poles is equal to the number of intervals, rounded up to ensure full coverage. The final answer is .
1.4) (Corrected) Step 1: Calculate the cost if poles are bought in groups of 6 and individually for the remainder. Total poles needed: . Number of groups of 6: Since is perfectly divisible by , groups of poles will be bought, with no individual poles. Cost for groups: . Cost for individual poles: . Total cost (groups + singles): .
Step 2: Calculate the cost if all poles are bought individually. Step 3: Compare the costs. The cost of buying in groups () is less than buying all individually (). The final answer is .
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This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.