17 (a) The scale of a map is 1 cm represents 25 m - OCR - GCSE Maths - Question 18 - 2017 - Paper 1

To determine the length of the path on the map in centimeters, use the scale given, which states that 1 cm represents 25 m.

1. First, convert the actual length of the path from meters to centimeters. Since 1 m equals 100 cm, we have:

   $240 ext{ m} = 240 \times 100 = 24000 \text{ cm}$

2. Next, using the scale, we can find the length on the map as follows:

   $\text{Length on map (cm)} = \frac{\text{Actual Length (cm)}}{\text{Scale factor (cm/m)}}$

   In this case, the scale factor of 25 m corresponds to 1 cm. Therefore, we can write:

   $\text{Length on map (cm)} = \frac{24000 \text{ cm}}{25} = 960 \text{ cm}$