Mr Venter bought a farm in order to sell chickens and vegetables. On ANNEXURE B is the layout plan of the farmyard. Use ANNEXURE B to answer the questions that follow. 4.1.1 Name the feature on the layout plan which has an irregular shape. (2) 4.1.2 The letter J on the map represents Jojo tanks. Give a reason why it is important to have a water tank at one's house. (2) 4.1.3 Jojo tanks are usually filled with rainwater. Write down TWO structures where the water to fill a Jojo tank could possibly come from. (2) 4.1.4 Calculate (in m²) the area of the garden expansion. You may use the following formula: Area of a triangle = $ \frac{1}{2} \times base \times height $ 4.1.5 Mr Venter decides to replace the fence around the circular chicken site. The circumference of the circular site is 18,852 m. By means of calculations, advise Mr Venter which option is more economical. (5)

NSC Mathematical Literacy Converting between different units of measurement: Mr Venter bought a farm in order

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

Question 4

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

A perennial garden bed is the feature on the layout plan that has an irregular shape.

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

It is important to have a water tank at one's house for several reasons. First, rainwater is often free compared to municipal water, which can reduce the cost of water supply. Additionally, having a water tank allows for the storage of water for future needs, ensuring a reliable water supply during dry periods.

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

Gutters that direct rainwater from the roof into the Jojo tank.
A rainwater harvesting system that collects and channels water into the tank.

Step 4

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

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Answer

To calculate the area of the garden expansion, we will utilize the formula for the area of a triangle:

$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$

Substituting the values:

$\text{Area} = \frac{1}{2} \times 17,024 \times 19.5 = 165,984 m²$

Step 5

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

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Answer

First, we will calculate the costs for both options:

Option A:

Cost = R 154 for a 10 m roll, so for the circumference of 18,852 m:

Number of rolls required:

\Rightarrow\text{ round up to } 1,886 \text{ rolls}$$ Total cost for Option A: $$1,886 \text{ rolls} \times R154 = R290,844$$ - **Option B:** Cost per running meter = R127.30. Total cost for Option B: $$18,852 \text{ m} \times R127.30 = R2,399,121.60$$ Comparing both: Option A costs R290,844 while Option B costs R2,399,121.60. Therefore, **Option A is more economical.**

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

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

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

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

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

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

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

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