On a map a line of length 5cm represents 40km. How many kilometers would a line of length 7 and 1/2 cm represents

Show workings

We can form a proportion to solve this problem:

5 cm represents 40 km
x km represents 7.5 cm

To find x, we cross-multiply and solve for x:

5 cm * x = 40 km * 7.5 cm
5x = 300
x = 60

Therefore, a line of length 7 and 1/2 cm represents 60 kilometers.