Answer:
The area of the remaining piece of land in hectares is 26.84 hectares.
Step-by-step explanation:
Given:
A road measuring 5 meters wide is to be constructed within and along the edge of a rectangular piece of land measuring 0.62 kilometers by 0.45 kilometers.
Now, to get the area of the remaining piece of land in hectares.
So, we convert the dimensions in meters:
[tex]0.62\times 1000=620\ meters[/tex]
[tex]0.45\times 1000=450\ meters.[/tex]
Now, deducting the road measuring 5 meters from both sides:
[tex]450-(5+5)[/tex]
[tex]=450-10[/tex]
[tex]=440\ meters.[/tex]
[tex]620-(5+5)\\=620-10\\=610\ meters.[/tex]
The new dimensions are 440 meters and 610 meters.
So, the area of the rectangular piece of land:
[tex]610\times 440=268400\ meters^2.[/tex]
As, getting the area of land = 268400 meter².
Now, we convert the area of land into hectares:
As, 10000 meter² = 1 hectare.
Thus, 268400 meter² = [tex]268400\div 10000=26.84\ hectares.[/tex]
Therefore, the area of the remaining piece of land in hectares is 26.84 hectares.