Q6E - University Physics with Modern Physics

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?

Step-by-Step Solution

Answer

12 acres area is 4.86 hectares

Step 1: Area of square

Area of a square is equal to product of its side. If we have side of length L than area of square will be L x L 

A = Area of the land ($m^2$)

L = Side of square( m)

Area of square  = L x L 

Area of square = 100 x 100 = 10000 m²

Given Data

1 hectare = 10000 ${\mathrm{m}}^2$

1 acre = 43600 ${\mathrm{ft}}^2$${\mathrm{ft}}^2$

Step 2: Conversion into hectare

The above problem is only a conversion matter. 

The conversion from acres to hectares is required. 

To do this, we'll need a conversion factor that connects the various units. Depending on what is requested, we multiply or divide this specific amount by the original measurement.

 To identify the relationship in this example, we use the data provided. Here's what we do:

1 hectare = 100 m x 100 m = 10000 ${\mathrm{m}}^2$

1 hectare = 10000 m² x ( 1ft / 0.3048 m )² = 107639.10 ft²

107639.10 ft²( 1 acre / 43600 ft² ) = 2.47 acre

 

Thus, 1 hectare = 2.47 acres

 

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

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

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