Respuesta :
Answer and explanation:
To find : Calculate to the nearest 1/10th meter the length of the side of a 7th, 12th, and 30th hectare square plot.
Solution :
The area of the square is given by,
[tex]A=s^2[/tex] where s is the side length.
We know, [tex]1 \text{ hectare}=10,000\ m^2[/tex]
1) The area of square plot is 7 hectare.
Area in meter square is [tex]A=7\times 10000=70000\ m^2[/tex]
Substitute the value in the formula,
[tex]70000=s^2[/tex]
[tex]\sqrt{70000}=s[/tex]
[tex]264.57=s[/tex]
Side nearest to 1/10th meter is 264.8 meter.
2) The area of square plot is 12 hectare.
Area in meter square is [tex]A=12\times 10000=120000\ m^2[/tex]
Substitute the value in the formula,
[tex]120000=s^2[/tex]
[tex]\sqrt{120000}=s[/tex]
[tex]346.41=s[/tex]
Side nearest to 1/10th meter is 346.4 meter.
3) The area of square plot is 30 hectare.
Area in meter square is [tex]A=30\times 10000=300000\ m^2[/tex]
Substitute the value in the formula,
[tex]300000=s^2[/tex]
[tex]\sqrt{300000}=s[/tex]
[tex]547.72=s[/tex]
Side nearest to 1/10th meter is 547.7 meter.
