Hi chrisu,


Determine the scale for area first from the given linear scale.

Map P
1 cm : p cm
1 cm^2 : p^2 cm^2
32 cm^2 : 32p^2 cm^2

Map Q
1 cm : q cm
1 cm^2: q^2 cm^2
50 cm^2 : 50q^2 cm^2

Since the actual areas represented on Map P and Map Q are the same,

50q^2=32p^2
p^2/q^2=32/50
p/q = sqrt (32/50)
p/q= 8/10 = 4/5

Ratio of p:q = 4:5

Hope this helps.

The Olive Tree Learning Hub