Question

On a scale drawing, a footpath around an allotmentis 24 cm long. The scale on the drawing is 1:30.

What is the actual length of the footpath in metres?

The length of the coast to coast cycle challenge is 225km. The scale on the map is 1 cm : 9 km.
What is the length of the cycle route on the map?

Answer 1

The actual length of the footpath is 720 cm. The length of the cycle route on the map is 25 cm.

Step-by-step explanation:

To find the actual length of the footpath, we can use the scale factor to convert the length on the drawing to the actual length.

The scale factor is 1:30, which means that every 1 cm on the drawing represents 30 cm in real life.

Since the footpath on the drawing is 24 cm long, the actual length of the footpath is:

24 cm x 30 cm

= 720 cm.

To find the length of the cycle route on the map, we can use the scale factor to convert the actual length to the length on the map.

The scale factor is 1 cm : 9 km, which means that every 1 cm on the map represents 9 km in real life.

Since the cycle route is 225 km long, the length on the map is:

225 km / 9 km

= 25 cm.