Find the city or town on your map that is nearest to where you live. Choose any other centre. Write down the two places and the distance between the two places.

Scale: The scale bar shows $4$ cm $= 400$ km, so
$1~cm = 100~\mathrm{km}$

Step 1: a) Durban to Johannesburg

Measure the straight-line distance on the map: $5.0$ cm

Formula:
$\text{Distance (km)} = (map distance in cm) \times 100~\frac{km}{cm}$

Substitute the measured value:
$5.0 \times 100~\frac{km}{cm} = 500~\mathrm{km}$

Simplify:
$500~\mathrm{km}$
500 km

Step 2: b) Pretoria to Cape Town

Measure the straight-line distance on the map: $14.0$ cm

Formula:
$\text{Distance (km)} = (map distance in cm) \times 100~\frac{km}{cm}$

Substitute the measured value:
$14.0 \times 100~\frac{km}{cm} = 1400~\mathrm{km}$

Simplify:
$1400~\mathrm{km}$
1400 km

Step 3: c) Durban to Cape Town

Measure the straight-line distance on the map: $12.0$ cm

Formula:
$\text{Distance (km)} = (map distance in cm) \times 100~\frac{km}{cm}$

Substitute the measured value:
$12.0 \times 100~\frac{km}{cm} = 1200~\mathrm{km}$

Simplify:
$1200~\mathrm{km}$
1200 km