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

Using the scale given, convert the measured dimensions on the map into actual sizes. For example, if property H measures 30 mm by 40 mm on the map with a scale of 1:200, the calculations would be as follows:

• Length in m: $\frac{30 \text{ mm}}{200 \text{ mm/m}} = 0.15 \text{ m}$
• Width in m: $\frac{40 \text{ mm}}{200 \text{ mm/m}} = 0.2 \text{ m}$

To verify Lizette's statement, calculate the dimensions on the main map. Assume the original dimensions of property H are $x$ and $y$. Then, the enlarged dimensions are $5x$ and $5y$. If the areas also correspond, the area calculation can be expressed as:

$\text{Area}_{\text{original}} = x \times y$ $\text{Area}_{\text{enlarged}} = 5x \times 5y = 25xy$

If the dimensions and proportions are validated, her statement holds.