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?

Verified step by step guidance

1. Convert the area of the lot from acres to square feet by multiplying the number of acres by the area of one acre in square feet.
2. Convert the area from square feet to square meters using the conversion factor (1 square meter = 10.764 square feet).
3. Calculate the area in square meters by dividing the area in square feet by the conversion factor.
4. Convert the area from square meters to hectares using the conversion factor (1 hectare = 10,000 square meters).
5. Calculate the area in hectares by dividing the area in square meters by the conversion factor.

Key Concepts

Area Measurement

Area is a measure of the extent of a two-dimensional surface and is typically expressed in square units. In this context, the area of the square field is given in hectares, which is a metric unit commonly used in land measurement, where 1 hectare equals 10,000 square meters.

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one unit to another unit. In this question, it involves converting acres to hectares. Knowing the conversion factors, such as 1 acre equals approximately 0.404686 hectares, is essential for accurate calculations.

Multiplication of Areas

When calculating the area of multiple lots, the total area can be found by multiplying the area of one lot by the number of lots. In this case, the area of a lot in acres is multiplied by the number of acres to find the total area, which can then be converted to hectares for the final answer.