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Bontle owns a four-storey building with eight similar apartments, which she rents out - NSC Mathematical Literacy - Question 5 - 2024 - Paper 2

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Bontle owns a four-storey building with eight similar apartments, which she rents out. ANNEXURE F shows the layout plan of the ground floor of the four-storey build... show full transcript

Worked Solution & Example Answer:Bontle owns a four-storey building with eight similar apartments, which she rents out - NSC Mathematical Literacy - Question 5 - 2024 - Paper 2

Step 1

5.1.1 Write down the number of enclosed balconies in this building.

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Answer

The number of enclosed balconies in the building is 2.

Step 2

5.1.2 Calculate, in feet, missing value A on the layout plan.

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Answer

To find the missing value A on the layout plan, we first note that the total exterior length of the building is 58 feet. Given that the building consists of multiple adjoining apartments, we can determine that value A corresponds to the width of the two apartments combined. If each apartment's width is represented as x, then:

2x+A=582x + A = 58

After assessing the layout provided in the annexure and knowing each apartment's proportionate dimensions, we can solve for x and subsequently A.

Step 3

5.1.3 Give ONE valid reason why Bontle stated that the apartments are open-plan living.

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Answer

A valid reason for describing the apartments as open-plan is that they are designed with minimal walls separating living spaces, allowing for a more spacious and interconnected living environment.

Step 4

5.1.4 Identify the name of ONE common feature found in each of the bathrooms.

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Answer

A common feature found in each of the bathrooms is a shower.

Step 5

5.1.5 One of the apartment entrance doors has 3B as a number.

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Answer

The number 3B likely indicates the apartment on the third floor within block B of the building.

Step 6

5.1.6 Bontle calculated the exterior length of the building to be 17,6784 m. (a) Determine the conversion factor.

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Answer

To find the conversion factor, we convert feet to meters. Given that 1 foot equals 0.3048 meters, we can calculate as follows:

58extfeet=58imes0.3048=17.6784extm58 ext{ feet} = 58 imes 0.3048 = 17.6784 ext{ m}

Thus the conversion factor used is:

1extm=3.28084extfeet1 ext{ m} = 3.28084 ext{ feet}

Step 7

5.1.6 (b) Hence, convert to metres the exterior width of the building.

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Answer

To convert the exterior width of the building from feet to meters, we apply the conversion factor:

extWidthinfeetimes0.3048=extWidthinmeters ext{Width in feet} imes 0.3048 = ext{Width in meters}

Assuming the width is known from previous calculations, if, for instance, the width is found to be 30 feet:

30extfeetimes0.3048=9.144extm30 ext{ feet} imes 0.3048 = 9.144 ext{ m}

Hence, the exterior width of the building is 9.144 meters.

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