a European farm has a land area of 0.425km^2. determine this area in acres . 1.000 acre =43,560ft ^2
area=.425km^2 (1E3m/km)^2 *(39.37in/m)^2* (1ft/12in)^2 * 1acre/43560ft^2
This is a good example of how to make conversions, keeping track of the units. Remember that nothing changes when you multiply by 1. Just use the expression for 1 which gets you where you want to go. I don't recall how many feet/m, etc., but I do recall that 1in = 2.54cm
0.425 km^2 * (1000m/km)^2 * (100cm/m)^2 * (1in/2.54cm)^2 * (1 ft/12in)^2 * 1 acre/43560ft^2 = 105.020 acre
To determine the land area in acres, we first need to convert the given area from square kilometers (km^2) to square feet (ft^2). Then, we can convert the area from square feet to acres using the conversion factor given.
Step 1: Convert km^2 to ft^2.
1 km^2 = 1,000,000 m^2 (since 1 km = 1000 m)
1 m^2 = 10.7639 ft^2 (rounded to 4 decimal places)
Therefore, 1 km^2 = 1,000,000 * 10.7639 ft^2 = 10,763,910.4 ft^2 (rounded to the nearest tenth)
Step 2: Convert ft^2 to acres.
1 acre = 43,560 ft^2 (conversion factor given)
Therefore, 10,763,910.4 ft^2 = 10,763,910.4 / 43,560 acres = 247.1057 acres (rounded to 4 decimal places)
Hence, the land area of the European farm is approximately 247.1057 acres.