Question

A rectangle is 65.9m long and 48m wide.By how many squares metres does it area fall short of a hectare?

Answer 1

First of all, the area A of our given rectangle is found as follows:
 
Area A of a rectangle = the length L times the width w
                                   =  (L)(w)
                                  = (65.9 m)(48 m)
                              A = 3,163.2 sq. meters (m²)
 
Now, 1 hectare = 395.3670 sq. rods  and
          1 sq. rod = 25.2930 m².  So, …
 
We now need to determine how much of one hectare, 3163.2 m² equals.
 
3163.2 m² = (3163.2 m²)(1)(1)
 
            = (3163.2 m²)(1 sq. rod/25.2930 m²)(1 hectare/395.3670 sq. rods)
 
            = .316319 hectare (to 6 decimal places)
 
Therefore, the area of the given rectangle falls short of one hectare by:
 
1 hectare – .316319 hectare = .683681 hectare.
 
Now, finding how many square meters that .683681 hectare equals:
 
.683681 hectare = .683681 hectare (1)(1)
 
       = .683681 hectare (395.3670 sq. rods/hectare)(25.2930 m²/1 sq. rod)
 
       = 6,836.8 m² (to the nearest tenth of a sq. meter) are how many  
                                    square meters area A of the given rectangle falls 
                                    short of a hectare.