Question

suppose you are making a map of a square area.The dimensions of the actual are are 1,000 km by 1,000km. You are drawing the map on a grid that is 10cm by 10cm. What scale would you use? Two cities are 820km apart on the ground. How fat apart are they on your map?

Answer 1

step 1

Find the scale drawing

we have

10 cm/1,000 km

simplify

1 cm/ 100 km

that means\

In the map 1 cm represent 100 km in the actual

Two cities are 820km apart on the ground

so

applying proportion

1 cm/100 km=x cm/820 km

solve for x

x=820/100

x=8.2 cm

1 cm ---------> 100 km

x cm -------> 820 km

x=(820 km)(1 cm)/100 km

x=8.20 cm