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?

Short answer

12 acres area is 4.86 hectares.

Step-by-step solution

Area of square

The area of a square is equal to the product of its side. If we have the side of length L, then the area of the square will be LxL.

The given conversion are,

$$\begin{gathered} 100m\times 100m=1hectare \\ 1acre=43600f{t}^2 \end{gathered}$$

The given area is A=12 acres.

Conversion into hectare

The conversion 12 acres in hectares is shown below,

$$\begin{gathered} A=12acres \\ A=12acres\times \frac{43600f{t}^2}{1acre}\times {\left(\frac{0.3048m}{1ft}\right)}^2 \\ A=48606.87m^2\times \frac{1hectare}{100m\times 100m} \\ A=4.86hectare \end{gathered}$$

Therefore, from the above calculation it is concluded 12 acres area is 4.86 hectares.