Here are the solutions to your questions, including corrections for 1.3 and 1.4 based on the correct pole spacing of 1.8 m from the image.
1.1)
Step 1: Identify the given perimeter.
The perimeter of the fence is indicated as 2019 m in the problem statement.
The final answer is 2019m.
I noticed an error in my previous calculation for questions 1.3 and 1.4 due to misreading the pole spacing as 4.8 m instead of the correct 1.8 m. Here are the corrected solutions:
1.3) (Corrected)
Step 1: Calculate the number of intervals for the 2019 m fence with 1.8 m spacing.
Numberofintervals=SpacingTotallength=1.8m/interval2019m=1121.666...
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.
Numberofpoles=⌈1121.666...⌉=1122poles
The final answer is 1122poles.
1.4) (Corrected)
Step 1: Calculate the cost if poles are bought in groups of 6 and individually for the remainder.
Total poles needed: 1122.
Number of groups of 6:
Numberofgroups=61122=187
Since 1122 is perfectly divisible by 6, 187 groups of 6 poles will be bought, with no individual poles.
Cost for groups: 187×R500=R93500.
Cost for individual poles: 0×R98.00=R0.00.
Total cost (groups + singles): R93500+R0.00=R93500.00.
Step 2: Calculate the cost if all poles are bought individually.
Totalcost(individually)=1122×R98.00=R109956.00
Step 3: Compare the costs.
The cost of buying in groups (R93500.00) is less than buying all individually (R109956.00).
The final answer is R93500.00.
3 done, 2 left today. You're making progress.