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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

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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 dark, bold... 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

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.

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Answer

To determine the street address of the property marked H, we assume the numbering system follows a sequential pattern from the main map. If we analyze the surrounding properties, we should identify the correct sequence. For example, if the properties are numbered incrementally as 31, 32, 33, etc., then the property marked H could be, say, 34. Thus, the street address is likely '34 Kewla Street'.

Step 2

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.

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Answer

To verify Lizette's statement, we need to calculate the dimensions of both the enlarged section and the corresponding section on the main map.

  1. Retrieve the dimensions: Let’s assume the dimensions of the section on the main map are represented as LL (length) and WW (width).

  2. Calculate the area using the formula:

    extArea=LimesW ext{Area} = L imes W

  3. Enlarged Area: The enlarged section should have an area that is 5 times larger:

    extEnlargedArea=5imesextArea ext{Enlarged Area} = 5 imes ext{Area}

  4. Example calculation: If the original area is 20 square meters, then: extEnlargedArea=5imes20=100extsquaremeters ext{Enlarged Area} = 5 imes 20 = 100 ext{ square meters}

  5. Conclusion: If the calculated enlarged dimensions satisfy the 5 times enlargement, Lizette's statement is valid.

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