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Mr Venter bought a farm in order to sell chickens and vegetables - NSC Mathematical Literacy - Question 4 - 2021 - Paper 2

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Mr Venter bought a farm in order to sell chickens and vegetables. On ANNEX B is the layout plan of the farmyard. Use ANNEXURE B to answer the questions that follow.... show full transcript

Worked Solution & Example Answer:Mr Venter bought a farm in order to sell chickens and vegetables - NSC Mathematical Literacy - Question 4 - 2021 - Paper 2

Step 1

4.1.1 Name the feature on the layout plan which has an irregular shape.

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Answer

The feature on the layout plan that has an irregular shape is the 'Perennial garden bed'.

Step 2

4.1.2 Give a reason why it is important to have a water tank at one's house.

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Answer

Having a water tank at one's house is important because it provides a reliable source of water during dry periods and can help reduce dependency on municipal water supply, particularly when rainwater harvesting is implemented.

Step 3

4.1.3 Write down TWO structures where the water to fill a Jojo tank could possibly come from.

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Answer

  1. Roof gutters collecting rainwater.
  2. A borehole or well providing groundwater.

Step 4

4.1.4 Calculate (in m²) the area of the garden expansion.

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Answer

Using the formula for the area of a triangle:

Area=12×base×heightArea = \frac{1}{2} \times base \times height

If the base is 17.024 m and the height is 19.5 m, then:

Area=12×17.024×19.5=165.984 m2Area = \frac{1}{2} \times 17.024 \times 19.5 = 165.984 \ m².

Step 5

4.1.5 By means of calculations, advise Mr Venter which option is more economical.

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Answer

To determine the cost for both options:

  • Option A cost:

    • R154 for 10m roll:
    • Cost for 1 meter = R154/10 = R15.40
    • Total for circumferential fence = 18,852m * R15.40 = R289,155.60
  • Option B cost:

    • R127.30 per running meter:
    • Total for circumferential fence = 18,852m * R127.30 = R2,401,124.60

Comparing:

  • Option A: R289,155.60
  • Option B: R2,401,124.60

Advisory: Option A is more economical.

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