The ratio of the length of the corresponding side of two regular polygons is 3: 4. the area of the larger polygon is 320m. what is the are of the smaller polygon

The answer is 180 sq m.

Step-by-step explanation:

As given, the ratio of the length of the corresponding side of two regular polygons is 3:4. So, the ratio of areas is

The area of the larger polygon is 320m. So, let the area of the smaller polygon be = x

As the ration is 9:16 , we can say that :

This gives x = 180

Hence, the area of the smaller polygon is 180 square meter.

1.8 km

Step-by-step explanation:

The scale on the map is 1 : 15000.

This means that every 1 cm on the map is equal to 15000 cm on the ground.

12 cm on the map will therefore be:

12 * 15000 = 180000 cm

Let us convert to kilometres:

100000 cm = 1 km

180000 cm = 180000 / 100000 = 1.8 km

12 cm on the map will be 1.8 km on the ground.