Calculate the area of F in square metres (m²). Use the following information: Length = 0,9 cm, Breadth = 0,4…

Question

Calculate the area of F in square metres (m²). Use the following information: Length = 0,9 cm, Breadth = 0,4 cm, Formula: Area = Length (L) x Breadth (B)

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Here are the solutions to the map skills and calculations questions:

3.1.1:
To determine the approximate distance between Benoni and Johannesburg, a topographical map with a scale is required. This information is not provided in the question. Therefore, the distance cannot be calculated from the given options.

3.1.2:
To find the reference number of the map to the south-west of 2628AB, we look at the provided index grid:

\begin{bmatrix} 2528CC & 2528CD & 2528DC \\ 2628AA & \textbf{2628AB} & 2628BA \\ 2628AC & 2628AD & 2628BC \end{bmatrix}

The map directly to the south-west of 2628AB is 2628AC.

C 2628AC

3.1.3:
To calculate the area of F in square metres:
Given:
Length = $0.9 \text{ cm}$
Breadth = $0.4 \text{ cm}$
Formula: Area = Length $\times$ Breadth

Convert the length and breadth from centimetres to metres.
We know that $1 \text{ cm} = 0.01 \text{ m}$ .
$\text{Length} = 0.9 \text{ cm} = 0.9 \times 0.01 \text{ m} = 0.009 \text{ m}$ $\text{Breadth} = 0.4 \text{ cm} = 0.4 \times 0.01 \text{ m} = 0.004 \text{ m}$
Calculate the area in square metres.
$\text{Area} = \text{Length} \times \text{Breadth}$ $\text{Area} = 0.009 \text{ m} \times 0.004 \text{ m}$ $\text{Area} = 0.000036 \text{ m}^2$
The area of F is $\boxed{\text{0.000036 m}^2}$ .

3.1.4:
To calculate the average gradient, the Horizontal Equivalent (HE) is needed. The HE is the actual ground distance, which is derived from the map distance using the map's scale. The orthophoto map distance is given as $11 \text{ cm}$ , but the scale of the orthophoto map is not provided. Without the map scale, the Horizontal Equivalent cannot be determined, and therefore, the average gradient cannot be calculated.

Calculate the area of F in square metres (m²). Use the following information: Length = 0,9 cm, Breadth = 0,4 cm, Formula: Area = Length (L) x Breadth (B)

Answer

Step-by-step solution

Convert the length and breadth from centimetres to metres.

Calculate the area in square metres.

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