Question

A square field measuring 100.0 m by 100.0 m has an area of 1.00 hectare. an acre has an area of 43,600 ft2. if a lot has an area of 12.0 acres, what is its area in hectares?

Answer 1

The problem given above is simply a conversion problem. We are asked to convert from units of acres to units hectares. To do this, we need a conversion factor which would relate the different units involved. We either multiply or divide this certain value to the original measurement depending on what is asked. For this case, we use the given values to determine the relation. We do as follows:

1 hectare = 100 m x 100 m = 10000 m^2
1 hectare = 10000 m^2 ( 1 ft / 0.3048 m )^2 = 107639.10 ft^2
107639.10 ft^2 ( 1 acre / 43600 ft^2 ) = 2.47 acre

Thus, 1 hectare = 2.47 acres

12.0 acres ( 1 hectare / 2.47 acres ) = 4.86 hectares