ANNEXURE D shows the location of Lizette's property, marked H (which includes the house), on the map of Mandela Park. The new extension is indicated using red, bolder lines, as shown on the map. An enlargement of a section of the main map is also shown. Use ANNEXURE D to answer the questions that follow. If the numbering system for the properties follows the same pattern, as shown on the main map, determine the street address of the property marked H. Lizette stated that the enlargement is 5 times bigger than the corresponding section on the main map. Verify, showing ALL calculations, whether her statement is valid.

NSC Mathematical Literacy Maps: ANNEXURE D shows the location of

ANNEXURE D shows the location of Lizette's property, marked H (which includes the house), on the map of Mandela Park - NSC Mathematical Literacy - Question 3 - 2017 - Paper 2

Question 3

ANNEXURE-D-shows-the-location-of-Lizette's-property,-marked-H-(which-includes-the-house),-on-the-map-of-Mandela-Park-NSC Mathematical Literacy-Question 3-2017-Paper 2.png

ANNEXURE D shows the location of Lizette's property, marked H (which includes the house), on the map of Mandela Park. The new extension is indicated using red, bolde... show full transcript

Worked Solution & Example Answer:ANNEXURE D shows the location of Lizette's property, marked H (which includes the house), on the map of Mandela Park - NSC Mathematical Literacy - Question 3 - 2017 - Paper 2

Step 1

Determine the street address of the property marked H.

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Answer

To determine the street address, we need to refer to the numbering system used in the main map. As per the pattern observed, property marked H would most likely correspond to the general layout and numbering indicated in its vicinity. After analyzing the properties around it on the map, the street address for the property marked H is identified as '33 Kwelha Street'.

Step 2

Lizette stated that the enlargement is 5 times bigger than the corresponding section on the main map. Verify, showing ALL calculations.

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Answer

To verify Lizette’s claim, we will use the scale of the enlargement. If the original dimensions are scaled up by a factor of 5, we can perform the following calculations:

Identify any specific original measurement from the main map. For example, if a length is L on the main map: $ext{Enlarged Length} = 5 imes L$
For the widths, heights, or any other relevant dimensions, the values will be the same: $ext{Enlarged Width} = 5 imes W$
Confirm the area by checking: $ext{Area of Original Section} = L imes W$ $ext{Area of Enlarged Section} = (5L) imes (5W) = 25(L imes W)$

This shows that the area has increased by a factor of 25, confirming that the enlargement is indeed 5 times in linear dimensions, and thus validating her statement.

ANNEXURE D shows the location of Lizette's property, marked H (which includes the house), on the map of Mandela Park - NSC Mathematical Literacy - Question 3 - 2017 - Paper 2

Worked Solution & Example Answer:ANNEXURE D shows the location of Lizette's property, marked H (which includes the house), on the map of Mandela Park - NSC Mathematical Literacy - Question 3 - 2017 - Paper 2

Determine the street address of the property marked H.

Lizette stated that the enlargement is 5 times bigger than the corresponding section on the main map. Verify, showing ALL calculations.

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