Form 4 · Chapter 2

Scale, Distance and Area in Topographic Maps

Understand map scale and use it to measure straight and winding distances and to calculate the area of regular and irregular shapes.

Scale shows how distance on the map compares to real distance on the ground. It lets us convert a short map measurement into an actual distance.

Types of scale

  • Statement scale: written in words, e.g. 1 cm represents 1 km.
  • Representative fraction (RF): a ratio such as 1:50 000, meaning 1 unit on the map equals 50 000 of the same units on the ground.
  • Linear (line) scale: a marked bar you can measure against directly.

Key idea

On a 1:50 000 map, 2 cm on the map equals 1 km on the ground, and each grid square measures 1 km × 1 km = 1 km².

Measuring distance

A straight distance is measured with a ruler, then multiplied using the scale. A winding distance (such as a river or road) is measured with a piece of thread or the edge of paper laid along the curve, then straightened and read against the scale.

Calculating area

For a regular shape, area = length × width, then convert using the scale. For an irregular shape, count grid squares: count every complete square, then add squares that are half or more covered and ignore those less than half covered.

Example

On a 1:50 000 map, a forest covers 6 full squares and 4 squares that are more than half filled. Estimated area = 6 + 4 = 10 km².

Remember

  • 1:50 000 means each grid square is 1 km².
  • Use thread for winding distance, a ruler for straight distance.
  • Count a part-square only if half or more is covered.

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