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On a map whose scale is 1:50000,a rectangular piece of land measures 3cm by 2cm.What is the size of this piece of land in hectares?

So the actual field is 150,000 cm by 100,000 cm

= 1500 m by 1000 m
which is 1,500,000 m^2

since 1 hectare = 10,000 m^2, the
number of hectares in this field = 1,500,000/10,000 = 150

Did you know?

Did you know that in cartography, the scale of a map represents the proportion between a unit of distance on the map and the corresponding distance on the Earth's surface? In this case, a map with a scale of 1:50000 means that one unit on the map equals 50000 units in reality. Now, imagine a rectangular piece of land on this map, measuring 3cm by 2cm. To determine its size in hectares, we first need to convert the measurements to the corresponding measurements in reality. By multiplying the length and width by the scale factor, we find that the actual size of the land is 150000cm² (3cm x 50000 units/1cm) by 100000cm² (2cm x 50000 units/1cm). To convert the area from square centimeters to hectares, we need to divide by 10000 (as 1 hectare equals 10000 square meters). So, the size of this piece of land is 15 hectares by 10 hectares (150000cm²/10000 and 100000cm²/10000), giving us a total area of 150 hectares.