Question

A map has a scale of 3 cm : 20 km. Which statements are true? Choose all that apply. A Two cities that are 7.5 cm apart on the map are actually 50 km apart. B Two cities that are 4 cm apart on the map are actually 30 km apart. C Two cities that are actually 45 km apart are 6.5 cm apart on the map. D Two cities that are actually 66 km apart are 9.9 cm apart on the map. Answer key

Answer 1

A Two cities that are 7.5 cm apart on the map are actually 50 km apart.

D Two cities that are actually 66 km apart are 9.9 cm apart on the map.

Explanation:

3cm on paper to 20 km on land

Converted to cm.

3cm on paper to 2000000cm on land

If two cities are 3cm apart on paper it's is 20 km apart on land

For A.

So if it's 7.5 cm on paper it is

=( 7.5*20)/3

= 50 km apart on land.

For D.

If it's 66km apart on land

It is (66*3)/20 apart on paper.

= 198/20

= 9.9 cm on paper

It's just a cross multiply problem.

Hope it was the answer was helpful

Answer 2

Answer options

A. Two cities that are 7.5 cm apart on the map are actually 50 km apart.

D. Two cities that are actually 66 km apart are 9.9 cm apart on the map.

Explanation:

Step 1

Indicate the scale as shown;

3 cm : 20 km, meaning 3 cm on the map represents 20 km on the ground

A). what does 7.5 cm represent on the ground

Distance on ground=(7.5×20)/3=50 km

B). what does 4 cm represent on the ground

Distance on ground=(4×20)/3=26.67 km

C). what does 45 km on ground represent on the map

Distance on map=(45×3)/20=6.75 cm

D). what does 66 km on ground represent on the map

Distance on the map=(66×3)/20=9.9 cm