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 $ (3) 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 Perimeter, area and volume: 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 fol... 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

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'. This is identifiable as it does not follow a standard geometric shape.

Step 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 allows for efficient water storage. It can provide a reliable source of water for domestic use, especially during dry seasons, and helps conserve rainwater for irrigation and other purposes.

Step 3

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

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Answer

Rain gutters from the roof of the house.
A borehole or well that supplies underground water.

Step 4

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

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Answer

To calculate the area of the garden expansion, we can use the formula for the area of a triangle:

$Area = \frac{1}{2} \times base \times height$ Assuming the base is 17,024 m and height is 19.5 m,

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

Step 5

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

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Answer

To determine which option is more economical, evaluate the cost per running metre for both options:

Option A: Cost = R154 for 10 m, thus: $Price\ per\ metre = \frac{154}{10} = R15.40/m$ Total cost for 18,852 m: $Total\ cost = 15.40 \times 18852 = R296,786.80$

Option B: Cost = R127.30 per running metre, thus: Total cost for 18,852 m: $Total\ cost = 127.30 \times 18852 = R2,404,398.60$

Comparing both, Option A is significantly cheaper at R296,786.80 compared to R2,404,398.60 for Option B.

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

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

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

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

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

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

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