A rod 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. What is the area of the remaining piece of land in hectares?

Respuesta :

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.