Chapter 1, Problem 38GP

To determine

Number of acres in one hectare.

Answer to Problem 38GP

There is 2.78 acres in one hectare.

Explanation of Solution

Given:

One hectare = 10⁴ m²

One acre = 4×10⁴ ft²

Formula Used:

  $\text{Number}\text{of}\text{acres}\text{in}\text{one}\text{hectare}=\frac{\text{Area in one hectare}}{\text{Area in one acre}}$

Calculation:

As, $1\text{ft}=0.3\text{m}$

So, $\text{4}\times {\text{10}}^4{\text{ft}}^2=\left(\text{4}\times {\text{10}}^4\right)\times 0.3\times 0.3{\text{m}}^2=3600{\text{m}}^2$

Now,

Number of acres in one hectare is

  $\begin{array}{l}=\frac{{10}^4{\text{m}}^2}{3600{\text{m}}^2}\\ =2.78\text{acres}\end{array}$

Conclusion:

Therefore, there are 2.78 acres in one hectare.