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Maths at work 1 – A fencing job

Answers

  1. Length of each side of the paddock = 100m
    Length of fence = 4 x 100 = 400m

  2. The gate should be positioned in a corner to limit the number of strainer posts to five and to allow the easiest movement of stock in and out of the paddock.

  3. Five strainer posts will be needed, one at each corner and one on the other side of the gate.

  4. Eight diagonal stays will be required.

  5. A total of 95 posts will be needed. 24 fence posts are needed per side, which means that 96 posts, less one post in the position of the gate strainer.

  6. Length of side of paddock = 100m
    For 3 sides length of each wire = 102m
    Length of wire needed for 3 sides = 3 x 5 wires x 102m = 1530m of wire
    For 4th side (with gateway) length of each wire = 98m
    Length of wire needed = 5 x 98m = 490m of wire
    Total length of wire = 1530 + 490 = 2020m

  7. No. rolls of wire = 2020 / 500 = 4.04
    Note – Most properties will have unfinished rolls of wire from previous jobs to use where short lengths are needed.

  8. Cost of materials
MATERIAL COST PER UNIT NO. OF UNITS TOTAL COST
Strainer post $20.00 5 100.00
Stay $12.00 8 96.00
Fence post $8.00 95 760.00
Roll of high tensile barbwire $70.00 4 280.00
Gate (3.6m) and fittings $120.00 1 120.00

TOTAL COST

$1356.00

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