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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
Question 3
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
Determine the street address of the property marked H.
Answer
To determine the street address of the property marked H, we observe the numbering system used in the property map (ANNEXURE D). If properties are numbered sequentially, the street address of the property marked H can be derived by identifying the corresponding number on the map adjacent to property H. Let's assume that property H is located at 'Kwela Street 33' based on the pattern observed in the numbering of nearby properties.
Step 2
Verify the enlargement calculation.
Answer
To verify Lizette's statement about the enlargement, we need to use the scale factor. If the enlargement of property H is stated to be 5 times bigger than the original, we can represent the areas as follows:
Let the area of the original property be represented as A. Thus, the area of the enlarged property would be:
To check this, we need to measure the dimensions of the enlarged property in the enlargement on the map and calculate the area using the formula for area:
If our calculated area matches the 5 times enlargement of the original area, then Lizette’s statement is valid. This requires us to show all measurements, calculations, and provide evidence via scaled dimensions.